The HVT package is a collection of R functions to facilitate building topology preserving maps for rich multivariate data analysis. Tending towards a big data preponderance, a large number of rows. A collection of R functions for this typical workflow is organized below:
Data Compression: Vector Quantization (VQ), HVQ (Hierarchical Vector Quantization) using means or medians. This step compresses the rows (long data frame) using a compression objective.
Data Projection: Dimension projection of the compressed cells to 1D, 2D and Interactive surface plot with the Sammons Non-linear Algorithm. This step creates a topology preserving map (also called as mathematical embeddings) coordinates into the desired output dimension.
Tessellation: Create cells required for object visualization using the Voronoi Tessellation method, package includes heatmap plots for Hierarchical Voronoi Tessellations (HVT). This step enables data insights, visualization, and interaction with the topology preserving map. Useful for semi-supervised tasks.
Scoring: Scoring data sets and recording their assignment using the map objects from the above steps, in a sequence of maps if required.
Temporal Analysis and Visualization: A Collection of functions that leverages the capacity of the HVT package by analyzing time series data for its underlying patterns, calculation of transitioning probabilities and the visualizations for the flow of data over time.
What’s New?
clustHVT, designed
for hierarchical clustering analysis. This function integrates with the
NbClust and stats packages to determine the
optimal number of clusters (k). It performs AGNES clustering and
generates an interactive 2D cluster plot by clustering cells at
level/depth 1.Flow of clustHVT
The function is applied to determine the optimal number of clusters for a dataset by evaluating 20 different default indices. It identifies the most appropriate k (optimal number of clusters) by exploring various combinations of cluster counts, distance measures, and clustering methods.
Based on user input, the function then performs hierarchical clustering using the AGNES (Agglomerative Nesting) technique, specifically employing the default ward.D2 method. The output includes a dendrogram for the specified number of clusters and a 2D cluster HVT plot which is interactive, allowing users to see the context of each cell when hovered over.
This function is used in section 8 of this notebook.
Limitation of clustHVT
Abstract
This notebook showcases the analysis and evaluation of token embeddings generated by OpenAI using the HVT package. It imports 1536-dimensional embedding data produced by OpenAI’s text-embedding-ada-002 model from textual content.
The HVT package is used to compress this data by constructing a
model with trainHVT, enabling the projection of the
compressed data in 2D using plotHVT and scoring each data
point in the dataset with scoreHVT based on the trained
model.
A key visualization is the compressed 2D Heatmap generated from
scoreHVT. This visualization helps to analyze the
distribution and placement of cells, visually representing the
clustering of textual data based on similarity, with contextually alike
data grouped in the same cell.
This notebook also includes two sections on Hierarchical Clustering. The former section analyze the Sammon’s coordinates data (2D - x and y coordinates) of the centroids and the later section analyze Sammon’s coordinates data (2D - x and y coordinates) with the embeddings (1536D) of the centroids.
The optimal number of clusters (k) is determined using dendrogram
plots from the clustHVT function. The clustered data are
then sent to OpenAI’s gpt-3.5-turbo via API call to
generate domain names for each cluster. This domain name allocation
process is also done manually.
The 2D HVT plot is visualized with overlaid domain names of both OpenAI-generated and manually assigned for comparison. Conclusions are drawn regarding the HVT package’s efficiency, the performance of Hierarchical Clustering method on two different datasets and insights are provided for domain names of both OpenAI generated and manually allotted.
Objective: To evaluate the effectiveness of the HVT package in compressing and visualizing high-dimensional LLM token embeddings while preserving the underlying structure and relationships between the embeddings.
Hypothesis:
Null Hypothesis (H0):
Alternate Hypothesis (H1):
Test Metrics:
Compression Ratio:
Visual Similarity Evaluation:
Here is the guide to install the HVT package. This helps the user to install the most recent version of the HVT package.
###direct installation###
#install.packages("HVT")
#or
###git repo installation###
#library(devtools)
#devtools::install_github(repo = "Mu-Sigma/HVT")NOTE: At the time documenting this vignette, the updated changes were not still in CRAN, hence we are sourcing the scripts from the R folder directly to the session environment.
# Sourcing required code scripts for HVT
script_dir <- "../R"
r_files <- list.files(script_dir, pattern = "\\.R$", full.names = TRUE)
invisible(lapply(r_files, function(file) { source(file, echo = FALSE); }))In this section, we are establishing all the functions that will be utilized in this notebook. The detailed explanation follows below:
This is a function used to create tables to display dataframes in this notebook.
Table <- function(data,scroll = F, limit = NULL){
if(!is.null(limit)){
data <- head(data,limit)}
kable_table <- data %>% kable(escape = F,align = "c") %>% kable_styling(bootstrap_options = c("striped", "hover", "responsive"))
if(scroll == T){
kable_table <- kable_table %>% scroll_box(width = "100%" , height = scrolLimit(nrow(data)))}
return(kable_table)}This function combines multiple CSV files (tweet csvs of each celebrities or influencers) in a directory to a single data frame, and slice the first 3 tweets per celebrity or influencer. It’s used in section 4 as a first part of data processing.
merge_and_slice_data <- function(directory,output_path, num_users = 915) {
csv_files <- list.files(directory, pattern = "*.csv", full.names = TRUE)
read_csv_with_filename <- function(file_path) {
df <- read.csv(file_path)
filename <- file_path_sans_ext(basename(file_path))
df$source_file <- filename
return(df)
}
combined_data <- csv_files %>% lapply(read_csv_with_filename) %>% bind_rows()
user_names <- unique(combined_data$source_file)
select_users <- sample(user_names, num_users)
sliced_data <- combined_data %>% filter(source_file %in% select_users) %>% group_by(source_file) %>%
slice_head(n = 3) %>% ungroup()
write.csv(sliced_data, output_path, row.names = FALSE)
}This is a python function used in Twitter data processing notebook from kaggle to clean the data by removing the urls, retweet tags, convert the emoji to text and all the basic text cleaning process. It’s used in section 4 as a second part of data processing.
import demoji
import re
import ast
from typing import Union
import pandas as pd
from bs4 import BeautifulSoup
emoticon_data_path="./emoticon_dict.json"
class TwitterDataPrep:
def __init__(self, emoticon_data_path=None):
self.emoticons_dict = {}
if emoticon_data_path:
self.load_emoticons(emoticon_data_path)
def load_emoticons(self, emoticon_data_path):
"""
Load the emoticons dictionary from a JSON file.
:param emoticon_data_path: Path to the emoticons JSON file.
"""
import json
with open(emoticon_data_path, 'r') as file:
self.emoticons_dict = json.load(file)
def clean_text(self, text: str) -> str:
pat1 = r'@[^ ]+' # remove username @
pat2 = r'https?://[A-Za-z0-9./]+' # remove urls
pat3 = r'\'s' # remove apostrophe
pat4 = r'\#\w+' # remove hashtag
pat5 = r'& ' # remove unicode `&`
pat7 = r'RT' # remove RT / retweet
pat8 = r'www\S+' # remove link www
combined_pat = r'|'.join((pat1, pat2, pat3, pat4, pat5, pat7, pat8)) # combine all patterns
text = re.sub(combined_pat, "", text)
text = re.sub(r'\s+', ' ', text) # remove extra spaces
return text.strip()
def _parse_bytes(self, field: Union[str, ast.AST]) -> Union[str, ast.AST]:
result = field
try:
result = ast.literal_eval(field)
finally:
return result.decode() if isinstance(result, bytes) else field
def replace_emoticons(self, text: str) -> str:
for emoticon, context in self.emoticons_dict.items():
text = text.replace(emoticon, ' ' + context + ' ')
text = re.sub(' +', ' ', text)
return text
def replace_emojis(self, text: str) -> str:
for emoji, context in demoji.findall(text).items():
text = text.replace(emoji, ' ' + context + ' ')
text = re.sub(' +', ' ', text)
return text
def preprocess_data(self, df: pd.DataFrame) -> pd.DataFrame:
df['tweet'] = df['tweet'].apply(self._parse_bytes)
df['tweet'] = df['tweet'].str.normalize('NFKD')
df['tweet'] = df['tweet'].map(self.clean_text)
df['tweet'] = df['tweet'].apply(lambda x: self.replace_emoticons(x))
df['tweet'] = df['tweet'].apply(lambda x: self.replace_emojis(x))
return df
def preprocess_twitter_data(input_path: str = None, output_path: str = None, df: pd.DataFrame = None, emoticon_data_path: str = None):
twitter_data_prep = TwitterDataPrep(emoticon_data_path=emoticon_data_path)
if input_path:
df = pd.read_csv(input_path)
if df is not None:
preprocessed_data = twitter_data_prep.preprocess_data(df)
if output_path:
preprocessed_data.to_csv(output_path, index=False)
return preprocessed_data
else:
raise ValueError("'input_path' is not provided.")This is the function used in section 4 to create embeddings from a textual tweets. This function uses Open-AI’s text-embedding-ada-002 model to create 1536 dimensional embedding space. The output numerical embeddings data will be stored as a csv file in the given ‘output_path’ argument.
create_embeddings <- function(input_path, output_path, api_key = Sys.getenv("OPENAI_API_KEY"), batch_size = 100) {
df <- read.csv(input_path)
get_embeddings <- function(texts) {
tryCatch({
response <- POST(
url = "https://api.openai.com/v1/embeddings",
add_headers(
"Authorization" = paste("Bearer", api_key),
"Content-Type" = "application/json"
),
body = toJSON(list(
model = "text-embedding-ada-002",
input = texts
), auto_unbox = TRUE),
encode = "json"
)
stop_for_status(response)
content <- content(response, "parsed")
return(lapply(content$data, function(item) item$embedding))
}, error = function(e) {
message("Error getting embeddings: ", e$message)
return(NULL)
})
}
# Create a progress bar
num_batches <- ceiling(nrow(df) / batch_size)
pb <- progress_bar$new(total = num_batches, format = "[:bar] :percent :eta")
# Process tweets in batches using lapply
batch_indices <- split(seq_len(nrow(df)), ceiling(seq_len(nrow(df))/batch_size))
embeddings <- lapply(batch_indices, function(indices) {
batch_embeddings <- get_embeddings(df$tweets[indices])
pb$tick()
return(batch_embeddings)
})
# Flatten the list of embeddings
embeddings <- unlist(embeddings, recursive = FALSE)
# Remove NULL values and convert embeddings list to dataframe
embeddings <- Filter(Negate(is.null), embeddings)
embeddings_df <- do.call(rbind, embeddings) %>% as.data.frame()
colnames(embeddings_df) <- paste0("E", 1:ncol(embeddings_df))
result_df <- cbind(df, embeddings_df)
result_df <- result_df %>% mutate(across(everything(), as.character))
write.csv(result_df, output_path, row.names = FALSE)
message("Embeddings created and saved successfully.")
}This is the function used in section 6.2 to plot the Heatmaps from the columns 1 to 50 of the dataset.
plot_columns <- function(dataset, no_of_cols, hvt.results) {
cols_to_plot <- colnames(dataset)[no_of_cols]
plots <- lapply(cols_to_plot, function(col_name) {
print(plotHVT(hvt.results, hmap.cols = col_name, child.level = 1,
plot.type = '2Dheatmap', centroid.size = 0.2))
})
invisible(plots)}This is the function used in section 8 before making an API call for the cluster’s data. This function takes the tweets from each cluster and write it as .txt file externally which is later read while making the API call.
create_and_write_clusters <- function(cluster_numbers, cluster_method) {
cluster_list <- lapply(cluster_numbers, function(i) {
subset(cluster_method$names.column, cluster_method$clusters == i)
})
invisible(list2env(setNames(cluster_list, paste0("clust_", cluster_numbers)), envir = .GlobalEnv))
write_cluster_to_file <- function(cluster, cluster_name) {
processed_text <- paste0("'",
gsub("[[:punct:]]", "", paste(cluster, collapse = " ")),
"'")
filename <- file.path("./twitter_data/",paste0(cluster_name, ".txt"))
writeLines(processed_text, filename)
}
cluster_names <- paste0("clust_", cluster_numbers)
invisible(lapply(cluster_names, function(name) {
cluster_data <- get(name)
write_cluster_to_file(cluster_data, name)
}))}This is the function used in section 8 that runs the chat completions API to OpenAI’s gpt-3.5-turbo model where the content of each cluster is provided in the prompt, and the model is requested to generate a domain name for each cluster. This API call runs 10 iterations per cluster, to generate the domain names and provide the highly repeated value/domain name for that cluster.
get_mode <- function(v) {
uniqv <- unique(v)
uniqv[which.max(tabulate(match(v, uniqv)))]
}
get_cluster_domains <- function(k, iterations = 10) {
url <- "http://172.25.1.85:31969/v1/chat/completions"
read_file_content <- function(filename) {
filepath <- file.path("./twitter_data/", filename)
readLines(filepath, warn = FALSE)
}
cluster_names <- paste0("clust_", 1:k)
content_list <- lapply(paste0(cluster_names, ".txt"), read_file_content)
prompt <- "Suggest a single word/domain that best describes the topics in the following text. Your response should be just one word. This is for cluster {cluster_number}. Ensure that your suggestion is unique and not used for any other cluster. Previously used domains are: {used_domains}. Do not repeat any of these."
send_request <- function(content, cluster_number, used_domains) {
full_prompt <- gsub("\\{cluster_number\\}", cluster_number, prompt)
full_prompt <- gsub("\\{used_domains\\}", paste(used_domains, collapse = ", "), full_prompt)
full_content <- paste(full_prompt, content)
request_body <- paste0('{
"model": "gpt-3.5-turbo",
"temperature":0,
"messages": [
{
"role": "user",
"content": "', full_content, '"
}
]
}')
response <- POST(url,
body = request_body,
add_headers(.headers = c(
`Content-Type` = "application/json",
`Authorization` = "Bearer sk-musigma"
)),
content_type("application/json"))
if (response$status_code == 200) {
response_content <- content(response, as = "parsed")
domain <- response_content$choices[[1]]$message$content
domain
} else {
stop(paste("Error:", response$status_code, response$content))
}
}
results <- matrix(nrow = iterations, ncol = k)
colnames(results) <- paste0("Domain_name_for_cluster_", 1:k)
results <- t(replicate(iterations, {
used_domains <- character(0)
unlist(lapply(seq_len(k), function(j) {
domain <- send_request(content_list[[j]], j, used_domains)
used_domains <<- c(used_domains, domain)
domain
}))
}))
results <- as.data.frame(results)
colnames(results) <- paste0("Domain_name_for_cluster_", 1:k) # Explicitly set column names
mode_results <- sapply(results, get_mode)
results <- rbind(results, Mode = mode_results)
formatted_table <- Table(results, scroll = TRUE)
return(list(raw_data = results, formatted_table = formatted_table, mode = mode_results))
}The textual corpus employed for generating the token embeddings in this notebook consists of tweets from top celebrities or Influencers on Twitter. This dataset is sourced from Kaggle
The aforementioned link directs to Kaggle, where one can download a zip file containing individual CSV files of tweets from the top 915 celebrities.
Why Twitter Dataset?
The Twitter dataset used in this notebook is accessible to public (open source) that ensures transparency and reproducibility. Each tweet represents a discrete data point with complete contextual meaning and the dataset comprises unadulterated content generated by a diverse global user base, minimizing bias and enhancing the generalizability of our findings. Twitter’s platform, where users often share opinions on similar topics, presents an ideal scenario for evaluating the HVT package’s claim of grouping similar data points within the same cell.
merge_and_slice_data(directory = "./twitter_data/all_celebs_tweets_folder/" , output_path = "./twitter_data/sliced_data.csv")preprocessed_data = preprocess_twitter_data( input_path='./twitter_data/sliced_data.csv',output_path='./twitter_data/cleaned_data.csv')selected_csv <- read.csv("./twitter_data/selected_data.csv")
selected_csv <- selected_csv[,-1] #removing the s.no column
Table(selected_csv[1:10,])| tweets | username |
|---|---|
| Metaverse VR creates own Ecosystem with P2E Games and NFT Technology. is high potential hidden gem project. Join the world now ! | 10Ronaldinho |
| “HONEY” out now! | 1LoganHenderson |
| Smile for the camera, guys! has released the music video for their new song “Fall.” | 1LoganHenderson |
| Thank you to everyone for your continued support and I can’t wait to see you on tour! | 1LoganHenderson |
| Happy July woman’s sandal woman’s sandal woman’s sandal wuv you | 3gerardpique |
| Happy birthday, Curtis! Love, Marshall | 4everBrandy |
| BMF fire Whole cast and crew. This is so dope, My legacy will be strong flexed biceps: medium skin tone eyes look at how many people i’m putting on. this is just 1 show GLG vertical traffic light GreenLightGang | 4everBrandy |
| Joining tomorrow morning for a special performance blossom 7am local time on | 50cent |
| You gotta do something evil to do something good. | 50cent |
| Can’t wait to see the results! Let’s get the show on the road guys party popper | 5SOS |
The cleaned data is then transformed into token embeddings using OpenAI’s text-embedding-ada-002 model, which generates 1536-dimensional data.
The Function for generating embeddings from textual data mentioned in section 3.2 follows all the below given steps for the process of converting textual data to numerical embeddings.
Steps of Embeddings Generation
Step 1 Initialization and Data Loading:
The function starts by loading the input tweets dataset (.csv format) with the API key. (Users can store their API key in system environment and the same will be imported for the API call)
Step 2 Embedding Generation via API:
A helper function get_embeddings is used to interact
with OpenAI via embeddings API url to processes the input dataset in
batches, handles API errors (if any) and stores the returned numerical
embeddings.
Step 3 Data Processing and Transformation:
Filters out any NULL responses from the API calls and converts the list of numerical embeddings into a dataframe corresponding to each tweet.
Step 4 Result Compilation and Storage:
Writes the combined dataframe row-wise (tweets + embeddings) to a new CSV file at the specified output path.
create_embeddings(input_path = "./twitter_data/selected_data.csv" output_path = "./twitter_data/final_embeddings.csv")Here we load the generated embeddings dataset. Below is a table displaying the first 10 rows of the embeddings dataset generated from cleaned tweets.
data <- read.csv("./twitter_data/final_embeddings.csv")
Table(data[1:10,], scroll = T)| X | tweets | username | E1 | E2 | E3 | E4 | E5 | E6 | E7 | E8 | E9 | E10 | E11 | E12 | E13 | E14 | E15 | E16 | E17 | E18 | E19 | E20 | E21 | E22 | E23 | E24 | E25 | E26 | E27 | E28 | E29 | E30 | E31 | E32 | E33 | E34 | E35 | E36 | E37 | E38 | E39 | E40 | E41 | E42 | E43 | E44 | E45 | E46 | E47 | E48 | E49 | E50 | E51 | E52 | E53 | E54 | E55 | E56 | E57 | E58 | E59 | E60 | E61 | E62 | E63 | E64 | E65 | E66 | E67 | E68 | E69 | E70 | E71 | E72 | E73 | E74 | E75 | E76 | E77 | E78 | E79 | E80 | E81 | E82 | E83 | E84 | E85 | E86 | E87 | E88 | E89 | E90 | E91 | E92 | E93 | E94 | E95 | E96 | E97 | E98 | E99 | E100 | E101 | E102 | E103 | E104 | E105 | E106 | E107 | E108 | E109 | E110 | E111 | E112 | E113 | E114 | E115 | E116 | E117 | E118 | E119 | E120 | E121 | E122 | E123 | E124 | E125 | E126 | E127 | E128 | E129 | E130 | E131 | E132 | E133 | E134 | E135 | E136 | E137 | E138 | E139 | E140 | E141 | E142 | E143 | E144 | E145 | E146 | E147 | E148 | E149 | E150 | 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| 1 | Metaverse VR creates own Ecosystem with P2E Games and NFT Technology. is high potential hidden gem project. 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| 3 | Smile for the camera, guys! has released the music video for their new song “Fall.” | 1LoganHenderson | -0.0006994 | -0.0086376 | 0.0052519 | -0.0179813 | 0.0165942 | 0.0412334 | 0.0012586 | -0.0157242 | -0.0012389 | -0.0127861 | 0.0141858 | -0.0081143 | -0.0248031 | -0.0266315 | 0.0237565 | -0.0068218 | 0.0179687 | -0.0339703 | 0.0140597 | -0.0166069 | 0.0001847 | 0.0109325 | 0.0039689 | -0.0074208 | -0.0147532 | -0.0049934 | 0.0218903 | -0.0148919 | 0.0293047 | 0.0116891 | -0.0024825 | -0.0018331 | -0.0220416 | -0.0281194 | -0.0228738 | -0.0049713 | -0.0302631 | -0.0111343 | -0.0013130 | -0.0146398 | 0.0016550 | -0.0196836 | -0.0020301 | -0.0373244 | -0.0159890 | -0.0039846 | -0.0031650 | -0.0127735 | -0.0042904 | 0.0037230 | -0.0077045 | -0.0020601 | -0.0243492 | -0.0273628 | 0.0099301 | -0.0062859 | 0.0147785 | 0.0121935 | 0.0152324 | 0.0096400 | -0.0302631 | 0.0090096 | 0.0019324 | -0.0060368 | -0.0098166 | -0.0038648 | -0.0184479 | -0.0060085 | -0.0182965 | 0.0035212 | 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0.0063322 | -0.0083748 | 0.0138156 | -0.0045495 | -0.0230384 | -0.0045650 | 0.0306271 | 0.0180742 | 0.0226423 | -0.0141746 | -0.0013231 | 0.0182599 | -0.0267895 | -0.0090062 | -0.0082201 | -0.0342667 | -0.0041688 | 0.0153383 | -0.0244249 | -0.0036798 | 0.0090495 | 0.0121939 | -0.0436009 | -0.0120454 | -0.0089752 | -0.0078425 | 0.0133204 | 0.0034477 | -0.0286464 | -0.0343658 | -0.0255267 | 0.0014213 | -0.0332516 | 0.0039862 | -0.0051252 | 0.0041874 | 0.0027282 | -0.0305033 | -0.0003961 | -0.0037077 | -0.0167991 | -0.0192750 | 0.0205378 | -0.0148803 | 0.0044133 | 0.0018043 | -0.0153136 | 0.0081643 | -0.0143480 | -0.0133452 | 0.0047909 | -0.0244249 | 0.0095137 | -0.0102441 | 0.0098356 | -0.0193246 | -0.0013865 | 0.0293892 | -0.0368664 | -0.0150660 | -0.0134071 | 0.0051747 | -0.0078115 | 0.0484537 | -0.0151774 | -0.0056358 | 0.0179504 | -0.0002619 | 0.0037634 | -0.0030640 | 0.0045959 | 0.0134442 | 0.0085110 | -0.0244373 | -0.0101389 | 0.0083005 | -0.0028953 | 0.0143108 | 0.0144099 | -0.0200302 | -0.0057906 | -0.0503107 | 0.0144965 | -0.0050478 | -0.0060815 | 0.0086533 | -0.0005548 | 0.0216519 | -0.0042245 | 0.0073349 | 0.0026972 | -0.0117730 | 0.0070440 | 0.0085853 | 0.0120763 | -0.0151031 | 0.0107084 | 0.0322612 | 0.0054223 | 0.0225556 | -0.0196836 | 0.0053511 | -0.0044350 | 0.0107888 | -0.0199312 | -0.0297358 | 0.0302062 | 0.0030345 | 0.0116244 | -0.0120639 | -0.0012960 | 0.0301319 | -0.0472901 | 0.0106898 | 0.0354304 | -0.0270370 | -0.0257496 | 0.0046238 | 0.0101018 | 0.0034694 | -0.0063105 | -0.0120701 | -0.0059855 | 0.0339696 | -0.0066293 | -0.0163411 | 0.0035282 | -0.0001604 | 0.0051623 | 0.0183218 | 0.0269380 | -0.0265666 | 0.0124848 | 0.0190274 | -0.0064188 | -0.0112902 | -0.0163782 | 0.0189408 | -0.0157097 | -0.0047383 | -0.0102565 | 0.0314937 | -0.0133204 | 0.0197083 | -0.0019157 | 0.0122868 | -0.0161430 | -0.0141127 | 0.0055120 | -0.0084553 | 0.0016264 | -0.0047661 | 0.0172448 | 0.0040079 | 0.0026508 | 0.0213177 | 0.0113088 | -0.0010546 | 0.0092166 | -0.0219985 | 0.0163163 | 0.0030284 | -0.0052459 | -0.0067159 | 0.0096128 | 0.0047538 | 0.0257496 | 0.0062672 | 0.0181485 | -0.0188913 | 0.0310976 | -0.0304786 | 0.0084429 | 0.0222709 | -0.0049549 | 0.0134690 | 0.0277055 | -0.0016945 | 0.0070688 | 0.0025703 | 0.0141994 | -0.0041565 | 0.0095694 | -0.0157840 | 0.0115316 | -0.0017919 | 0.0311966 | -0.0195226 | -0.0014608 | -0.0100584 | 0.0154993 | 0.0114511 | 0.0114140 | 0.0127757 | 0.0166629 | -0.0130852 | -0.0196340 | 0.0343905 | 0.0031630 | -0.0172324 | 0.0222338 | 0.0369160 | -0.0125282 | 0.0083377 | -0.0136052 | 0.0087648 | 0.0024589 | -0.0152393 | 0.0110302 | -0.0022577 | 0.0076939 | -0.0221719 | -0.0192503 | -0.0374359 | -0.0142984 | -0.0074649 | -0.0180618 | -0.0147565 | 0.0193865 | 0.0029649 | 0.0468692 | -0.0003430 | 0.0055213 | 0.0220233 | 0.0107455 | 0.0145832 | 0.0070440 | 0.0012302 | -0.0047197 | 0.0257000 | 0.0154993 | -0.0227289 | 0.0105660 | -0.0296368 | -0.0243631 | 0.0019544 | -0.0022036 | -0.0035189 | -0.0296120 | 0.0118782 | 0.0103493 | -0.0100708 | 0.0074587 | 0.0216519 | -0.0297110 | -0.0248087 | 0.0068521 | 0.0010082 | 0.0186313 | -0.0406298 | 0.0105598 | -0.0063569 | -0.0060691 | -0.0083562 | 0.0020086 | -0.0005083 | 0.0013502 | -0.0237069 | -0.0015846 | 0.0102689 | -0.0236946 | 0.0170467 | -0.0190893 | -0.0231870 | 0.0290673 | 0.0151774 | -0.0115997 | -0.0132090 | -0.0063322 |
| 5 | Happy July woman’s sandal woman’s sandal woman’s sandal wuv you | 3gerardpique | -0.0097000 | 0.0077523 | 0.0084164 | -0.0318266 | -0.0021775 | 0.0058142 | -0.0253642 | -0.0046201 | -0.0108111 | -0.0181228 | -0.0031163 | 0.0203706 | -0.0086335 | 0.0070180 | 0.0100001 | -0.0071584 | 0.0304218 | 0.0225545 | 0.0210602 | 0.0102811 | -0.0158239 | 0.0012803 | -0.0181100 | 0.0034228 | -0.0129695 | 0.0074969 | 0.0123437 | -0.0212390 | 0.0054981 | -0.0159644 | -0.0179312 | -0.0062900 | -0.0200385 | -0.0123756 | -0.0284550 | -0.0226311 | -0.0182633 | -0.0016763 | 0.0156579 | 0.0024968 | 0.0156579 | 0.0161815 | 0.0053066 | 0.0057184 | -0.0188252 | 0.0266925 | 0.0029822 | 0.0013793 | 0.0025783 | 0.0363988 | 0.0283528 | 0.0170883 | -0.0227844 | 0.0047861 | 0.0001923 | 0.0273821 | -0.0036590 | 0.0146106 | -0.0037868 | -0.0156196 | -0.0126757 | 0.0145468 | -0.0158878 | 0.0159899 | 0.0020051 | -0.0048660 | -0.0034707 | 0.0026245 | 0.0209070 | 0.0240871 | 0.0136783 | -0.0016715 | 0.0047989 | -0.0100767 | -0.0019764 | -0.0151343 | -0.0092402 | 0.0166668 | -0.0007699 | -0.0109005 | 0.0227716 | -0.0273566 | 0.0249556 | -0.0019253 | 0.0157473 | 0.0240360 | -0.0222608 | 0.0016667 | -0.0129312 | -0.0321332 | 0.0081163 | -0.0080716 | 0.0247512 | 0.0082185 | -0.0011558 | 0.0257857 | -0.0306261 | 0.0057663 | 0.0173310 | -0.0173948 | 0.0280974 | 0.0024394 | -0.0212135 | -0.0160410 | -0.0193999 | -0.0127971 | -0.0133462 | -0.0078800 | 0.0111495 | 0.0083781 | -0.0279441 | 0.0486340 | 0.0244064 | -0.0313924 | -0.0117945 | -0.0254920 | -0.0095339 | 0.0258496 | -0.0280207 | -0.0314946 | 0.0026166 | 0.0085122 | 0.0131674 | 0.0157856 | 0.0136400 | 0.0081738 | -0.0137038 | -0.0186081 | -0.0158750 | 0.0112326 | 0.0334614 | 0.0075480 | 0.0163731 | -0.0109452 | -0.0102236 | 0.0335125 | -0.0156451 | -0.0048947 | -0.0002433 | -0.0023100 | 0.0142913 | 0.0299109 | -0.0152109 | 0.0121329 | 0.0042050 | 0.0171266 | 0.0185315 | -0.0186337 | 0.0041220 | -0.0060282 | 0.0212263 | 0.0015262 | 0.0215839 | -0.0244319 | 0.0203323 | 0.0122734 | -0.0083079 | 0.0316478 | -0.0086080 | -0.0290935 | 0.0107919 | -0.0010473 | 0.0072095 | -0.0151087 | 0.0164753 | 0.0296810 | -0.0061016 | 0.0029678 | -0.0170500 | 0.0000732 | 0.0002357 | 0.0160666 | -0.0312391 | -0.0011375 | -0.0198342 | 0.0189146 | 0.0163475 | 0.0042274 | -0.0262583 | -0.0029726 | -0.0429890 | -0.0020147 | -0.0009188 | 0.0057951 | -0.0289658 | 0.0184932 | 0.0029933 | -0.0000423 | 0.0169223 | 0.0030364 | 0.0063890 | 0.0118328 | 0.0075671 | -0.0152109 | -0.6543107 | 0.0014113 | 0.0242404 | 0.0060090 | 0.0004638 | 0.0221075 | 0.0163220 | 0.0162581 | -0.0274332 | -0.0006062 | -0.0111687 | 0.0433465 | -0.0064879 | 0.0071010 | 0.0034579 | -0.0105046 | -0.0196681 | -0.0170500 | -0.0015637 | -0.0057568 | -0.0324141 | 0.0316734 | -0.0036399 | 0.0085633 | 0.0360412 | -0.0068136 | 0.0077970 | -0.0099171 | -0.0099937 | 0.0240232 | -0.0209581 | 0.0251216 | -0.0038698 | -0.0078673 | 0.0692216 | -0.0244192 | -0.0158111 | 0.0208942 | 0.0157728 | 0.0266159 | -0.0051820 | -0.0083206 | -0.0068200 | -0.0041348 | -0.0038825 | 0.0123245 | 0.0017944 | -0.0063474 | -0.0046552 | 0.0203323 | 0.0114688 | 0.0063634 | 0.0265903 | 0.0219287 | -0.0075991 | -0.0219670 | 0.0125033 | -0.0148277 | 0.0188380 | -0.0029518 | -0.0214817 | 0.0030572 | -0.0224013 | -0.0041731 | 0.0048723 | -0.0006793 | 0.0111368 | 0.0116540 | -0.0068647 | 0.0172543 | -0.0159005 | -0.0012021 | -0.0088251 | -0.0051086 | 0.0031370 | 0.0199491 | -0.0008892 | -0.0070307 | -0.0160283 | 0.0179823 | 0.0069477 | 0.0001434 | -0.0220564 | 0.0079822 | 0.0342532 | -0.0146617 | -0.0171905 | -0.0027235 | 0.0084803 | -0.0089401 | 0.0208176 | 0.0326696 | -0.0031434 | 0.0016052 | 0.0140742 | 0.0225417 | -0.0124075 | 0.0071712 | -0.0065709 | -0.0263349 | 0.0000189 | 0.0135761 | 0.0010768 | -0.0119031 | 0.0048053 | 0.0101342 | 0.0075799 | 0.0124395 | 0.0008341 | -0.0136528 | 0.0134995 | 0.0010002 | 0.0126438 | -0.0013873 | 0.0055780 | -0.0210475 | 0.0246618 | 0.0128162 | 0.0140104 | 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0.0314179 | 0.0412265 | 0.0400515 | 0.0032392 | 0.0005448 | -0.0113028 | 0.0005268 | -0.0201279 | 0.0207793 | -0.0136528 | 0.0450579 | 0.0356581 | -0.0096872 | -0.0166030 | -0.0086272 | -0.0140359 | 0.0050096 | 0.0098788 | -0.0208814 | -0.0082696 | -0.0025016 | -0.0092274 | -0.0057280 | -0.0041316 | 0.0037804 | -0.0226950 | -0.0094382 | 0.0193361 | -0.0160538 | 0.0014440 | 0.0006434 | -0.0077395 | -0.0115199 | 0.0064560 | 0.0208942 | 0.0257218 | -0.0094062 | -0.0328228 | 0.0219159 | -0.0260795 | 0.0374717 | 0.0104471 | 0.0321076 | 0.0080971 | 0.0122543 | 0.0054790 | 0.0057057 | 0.0163731 | 0.0138571 | -0.0119158 | 0.0027714 | 0.0092913 | -0.0102172 | 0.0021201 | -0.0169734 | 0.0362711 | 0.0085122 | -0.0356326 | -0.0022286 | 0.0137677 | 0.0261433 | 0.0282762 | 0.0425547 | 0.0121266 | 0.0206771 | 0.0018966 | 0.0046616 | 0.0172288 | 0.0048085 | -0.0451856 | -0.0049937 | -0.0091253 | -0.0052746 | -0.0179440 | -0.0120563 | -0.0093296 | 0.0116029 | -0.0077204 | 0.0198853 | 0.0158495 | -0.0118328 | 0.0003434 | -0.0308049 | -0.0322098 | 0.0020514 | 0.0289403 | -0.0081993 | -0.0043359 | -0.0123756 | 0.0322864 | 0.0191445 | 0.0247001 | 0.0184549 | 0.0183527 | -0.0009842 | -0.0057791 | -0.0367054 | 0.0092785 | -0.0056099 | -0.0014280 | 0.0160538 | -0.0033398 | -0.0092083 | 0.0049490 | -0.0039592 | -0.0190168 | 0.0147511 | -0.0369097 | 0.0068647 | 0.0057536 | -0.0110346 | 0.0116349 | -0.0053864 | -0.0050128 | -0.0128609 | 0.0027155 | 0.0163220 | 0.0062229 | -0.0034164 | -0.0042210 | 0.0323630 | -0.0165008 | -0.0031194 | -0.0158239 | -0.0179312 | 0.0091572 | 0.1059526 | 0.0203450 | 0.0177652 | -0.0028720 | 0.0127907 | -0.0166541 | -0.0292468 | 0.0029055 | -0.0130142 | 0.0141892 | -0.0075799 | -0.0187103 | -0.0006941 | 0.0031115 | 0.0228866 | -0.0070627 | 0.0128673 | 0.0090614 | 0.0279952 | -0.0030332 | 0.0059835 | -0.0115902 | -0.0008709 | 0.0245980 | -0.0084739 | 0.0136655 | -0.0024282 | 0.0197575 | -0.0023643 | -0.0163092 | 0.0070627 | 0.0188125 | 0.0009076 | -0.0050096 | 0.0045850 | 0.0138699 | 0.0101023 | 0.0047414 | 0.0288636 | -0.0047542 | 0.0102108 | 0.0037005 | 0.0160921 | -0.0291702 | 0.0073245 | -0.0105110 | -0.0093296 | 0.0059898 | -0.0007240 | -0.0110282 | 0.0384167 | 0.0105110 | -0.0008182 | -0.0268968 | 0.0139465 | 0.0050479 | -0.0099682 | 0.0023468 | -0.0196809 | -0.0132313 | 0.0195660 | -0.0171522 | 0.0030556 | -0.0117498 | -0.0086655 | -0.0081674 | -0.0211624 | -0.0125033 | 0.0114114 | -0.0252110 | 0.0021328 | -0.0229632 | -0.0011295 | 0.0193616 | 0.0055524 | 0.0166413 | 0.0042721 | -0.0058078 | 0.0071904 | -0.0121393 | -0.0180462 | -0.0112517 | 0.0148533 | -0.0149938 | -0.0266414 | -0.0051916 | -0.0118903 | -0.0146234 | -0.0149171 | 0.0171266 | 0.0471014 | 0.0129823 | 0.0101406 | -0.0022606 | 0.0268968 | -0.0021648 | 0.0252621 | 0.0178290 | -0.0292468 | 0.0027523 | 0.0155940 | -0.0374206 | -0.0091700 | -0.0091636 | 0.0128992 | 0.0021648 | -0.0102300 | 0.0405624 | -0.0298598 | -0.0089273 | -0.0069030 | -0.0017258 | 0.0098852 | 0.0189785 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| 6 | Happy birthday, Curtis! 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| 7 | BMF fire Whole cast and crew. This is so dope, My legacy will be strong flexed biceps: medium skin tone eyes look at how many people i’m putting on. this is just 1 show GLG vertical traffic light GreenLightGang | 4everBrandy | -0.0175641 | -0.0306771 | -0.0110142 | -0.0363275 | 0.0039612 | 0.0156051 | -0.0107610 | 0.0019790 | -0.0285183 | -0.0287848 | 0.0109875 | 0.0007629 | 0.0066798 | 0.0009562 | 0.0057370 | 0.0020439 | 0.0222149 | 0.0115606 | 0.0107143 | -0.0051106 | 0.0002869 | 0.0027169 | -0.0118071 | 0.0033382 | 0.0089486 | 0.0090152 | 0.0056304 | -0.0289980 | -0.0035481 | 0.0105411 | 0.0045576 | 0.0004589 | 0.0142458 | -0.0125067 | -0.0029518 | -0.0095083 | -0.0212954 | -0.0019190 | 0.0267859 | -0.0021822 | 0.0152986 | -0.0072961 | 0.0038813 | -0.0251601 | -0.0345418 | -0.0086155 | 0.0024787 | -0.0241073 | -0.0104145 | 0.0055504 | 0.0212155 | 0.0049141 | 0.0006717 | -0.0287049 | 0.0138594 | 0.0202560 | 0.0248802 | 0.0039912 | 0.0200694 | -0.0027469 | -0.0142325 | -0.0048008 | -0.0276654 | -0.0253200 | 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-0.0188203 | 0.0016104 | 0.0060089 | 0.0249444 | 0.0150737 | -0.0194053 | 0.0237868 | -0.0064228 | -0.0316410 | 0.0348524 | 0.0000684 | -0.0197041 | -0.0040360 | 0.0374912 | -0.0054955 | 0.0146754 | -0.0096840 | -0.0040889 | 0.0007818 | -0.0060214 | -0.0058813 | -0.0258904 | -0.0193555 | -0.0030885 | -0.0237370 | -0.0095097 | 0.0041014 | 0.0029033 | 0.0309440 | -0.0034821 | 0.0161068 | -0.0111279 | 0.0088625 | 0.0055515 | -0.0213347 | 0.0189448 | 0.0005858 | 0.0224300 | 0.0164429 | 0.0061023 | 0.0086882 | 0.0022530 | -0.0262140 | 0.0096902 | 0.0029422 | 0.0015466 | -0.0065473 | 0.0195423 | 0.0077609 | 0.0030014 | 0.0016104 | -0.0078791 | 0.0642280 | 0.0068647 | -0.0216707 | 0.0219570 | -0.0120490 | -0.0004450 | -0.1084408 | -0.0001432 | 0.0050412 | 0.0024739 | 0.0114889 | 0.0267119 | -0.0020694 | -0.0117378 | -0.0105242 | 0.0046989 | -0.0054052 | -0.0381136 | -0.0083895 | -0.0192684 | 0.0173515 | 0.0271102 | 0.0010378 | 0.0096218 | -0.0148123 | 0.0200028 | -0.0254547 | 0.0080161 | -0.0107358 | -0.0171524 | 0.0121548 | 0.0312676 | -0.0263136 | 0.0214093 | 0.0058160 | 0.0075431 | 0.0044406 | -0.0275334 | 0.0235876 | 0.0067402 | -0.0197788 | -0.0078978 | -0.0055639 | 0.0037404 | 0.0009320 | -0.0239361 | 0.0043192 | -0.0005103 | 0.0138912 | -0.0127398 | -0.0027462 | 0.0135800 | -0.0099641 | 0.0139161 | -0.0040454 | -0.0143144 | -0.0123042 | 0.0092732 | -0.0188701 | 0.0002206 | 0.0037684 | 0.0040174 | -0.0102939 | -0.0226541 | -0.0081468 | -0.0043254 | -0.0125158 | -0.0123166 | 0.0055951 | 0.0013995 | 0.0092234 | 0.0002239 | -0.0261144 | 0.0094599 | 0.0101632 | -0.0239859 | 0.0104744 | 0.0266870 | -0.0096529 | 0.0233387 | -0.0112026 | -0.0044219 | -0.0046335 | -0.0270355 | 0.0122419 | -0.0015310 | -0.0077049 | -0.0226167 | 0.0149865 | -0.0133435 | 0.0073252 | -0.0220939 | -0.0080161 | 0.0208368 | -0.0122232 | -0.0108540 | -0.0015722 | 0.0312427 | 0.0048233 | -0.0174138 | -0.0243096 | -0.0060214 | -0.0136920 | -0.0173266 | 0.0034852 | 0.0067527 | -0.0064975 | -0.0213222 | -0.0072505 | 0.0063668 | -0.0265376 | 0.0031694 | 0.0023868 | -0.0044126 | 0.0127585 | 0.0010642 | 0.0033172 | 0.0166669 | 0.0049042 | 0.0325372 | -0.0072941 | -0.0127025 | -0.0089123 | 0.0051034 | -0.0081841 | -0.0126278 | 0.0082837 | -0.0001557 | -0.0037217 | -0.0102068 | -0.0062672 | -0.0076738 | 0.0278819 | 0.0225296 | -0.0174387 | 0.0357984 | -0.0018453 | -0.0210857 | 0.0217454 | -0.0105366 | 0.0033608 | 0.0195796 | 0.0136422 | -0.0212475 | -0.0166047 | 0.0028333 | 0.0231271 | 0.0405782 | -0.0358980 | -0.0346533 | 0.0106424 | -0.0395824 | -0.0219321 | 0.0062797 | -0.0158703 | 0.0043503 | -0.0076862 | -0.0199655 | 0.0019060 | 0.0194053 | -0.0311680 | 0.0025548 | -0.0023557 | -0.0256414 | 0.0050412 | -0.0009413 | -0.0146007 | -0.0232018 | 0.0012214 | 0.0077049 | 0.0317904 | -0.0082214 | -0.0094475 | 0.0137543 | 0.0035164 | 0.0051096 | 0.0127336 | -0.0335579 | -0.0113084 | 0.0050598 | -0.0039582 | 0.0134804 | -0.0084268 | 0.0131070 | 0.0028924 | -0.0078293 | -0.0270355 | 0.0138663 | -0.0178245 | -0.0033141 | -0.0121299 | 0.0180237 | 0.0019464 | 0.0138289 | 0.0063263 | 0.0089123 | 0.0044655 | 0.0259900 | -0.0227910 | -0.0073875 | -0.0177872 | 0.0047735 | -0.0007647 | 0.0312676 | -0.0097711 | 0.0077235 | 0.0166918 | -0.0104931 | 0.0078542 | 0.0053554 | 0.0006469 | 0.0075244 | -0.0126776 | 0.0013949 | -0.0250440 | -0.0180859 | 0.0105366 | 0.0483702 | 0.0136422 | -0.0221935 | 0.0015318 | 0.0041356 | -0.0102877 | 0.0196418 | 0.0235876 | -0.0359976 | -0.0172146 | 0.0157458 | 0.0228906 | 0.0082650 | 0.0313423 | -0.0028893 | -0.0012478 | 0.0146629 | 0.0134929 | -0.0095284 | 0.0060338 | -0.0125220 | -0.0146629 | -0.0096715 | -0.0323879 | -0.0123290 | -0.0222807 | 0.0078854 | -0.0236872 | 0.0033265 | 0.0105242 | 0.0101134 | 0.0060027 | -0.0124224 | 0.0064104 | -0.0214840 | 0.0091550 | -0.0084766 | 0.0006706 | -0.0232391 | -0.0196418 | 0.0083148 | 0.0075368 | 0.0418478 | -0.0158703 | -0.0185465 | 0.0260646 | -0.0029344 | 0.0208492 | 0.0114826 | 0.0137045 | 0.0208368 | 0.0246705 | 0.0231520 | 0.0010323 | -0.0041574 | -0.0263634 | 0.0304959 | 0.0163309 | -0.0130199 | 0.0040609 | 0.0010627 | 0.0200775 | -0.0068771 | -0.0132688 | 0.0084517 | 0.0102503 | -0.0089309 | -0.0228408 | -0.0020320 | 0.0177872 | 0.0027695 | 0.0131568 | -0.0176254 | -0.0366697 | 0.0159823 | -0.0059062 | 0.0106673 | 0.0081468 | -0.0254921 |
| 10 | Can’t wait to see the results! Let’s get the show on the road guys party popper | 5SOS | -0.0083005 | -0.0057657 | 0.0088784 | -0.0332547 | 0.0140663 | 0.0252694 | -0.0029485 | 0.0245733 | -0.0263332 | -0.0070988 | -0.0016466 | 0.0263332 | -0.0033984 | -0.0156160 | 0.0235882 | 0.0035921 | 0.0285003 | -0.0287367 | 0.0028484 | -0.0237327 | -0.0007782 | -0.0237064 | -0.0178356 | -0.0054210 | -0.0198451 | -0.0087602 | 0.0226163 | -0.0259654 | -0.0027844 | 0.0002865 | 0.0007860 | 0.0133767 | -0.0141057 | -0.0246389 | -0.0123851 | -0.0400580 | -0.0206331 | -0.0016409 | 0.0300763 | -0.0024938 | 0.0050532 | 0.0000834 | -0.0024691 | -0.0229578 | -0.0162071 | 0.0040518 | -0.0131535 | -0.0105530 | 0.0157868 | 0.0161808 | 0.0127857 | -0.0116037 | -0.0136854 | -0.0144997 | 0.0168506 | -0.0065176 | 0.0154059 | 0.0180983 | -0.0169294 | -0.0063173 | 0.0112425 | 0.0138824 | -0.0240742 | 0.0116102 | -0.0033885 | -0.0256108 | -0.0360128 | 0.0057920 | 0.0180195 | 0.0227083 | 0.0209878 | 0.0071579 | -0.0076636 | -0.0224981 | 0.0183741 | -0.0085435 | -0.0269242 | -0.0159444 | 0.0160495 | 0.0267272 | 0.0324929 | -0.0226557 | -0.0233781 | 0.0257028 | 0.0088916 | 0.0287892 | 0.0106186 | -0.0018666 | -0.0363805 | -0.0256108 | -0.0106383 | 0.0304441 | -0.0013429 | -0.0125756 | -0.0049547 | -0.0035888 | -0.0190965 | 0.0212110 | -0.0153796 | -0.0113344 | -0.0016434 | -0.0166142 | -0.0000873 | -0.0162333 | -0.0022787 | 0.0059397 | -0.0036676 | -0.0045311 | 0.0093841 | -0.0139087 | -0.0200027 | 0.0027860 | -0.0080707 | -0.0006468 | -0.0194905 | 0.0015580 | 0.0106318 | -0.0015958 | -0.0216970 | -0.0306279 | 0.0119911 | -0.0145128 | 0.0442082 | 0.0026924 | 0.0118861 | 0.0040649 | -0.0279749 | -0.0170476 | 0.0315998 | -0.0208039 | -0.0003105 | -0.0118532 | 0.0007839 | 0.0052272 | -0.0191753 | 0.0276334 | 0.0092593 | 0.0140531 | -0.0226820 | 0.0084713 | 0.0190440 | 0.0317574 | 0.0032046 | -0.0249410 | 0.0069281 | 0.0302602 | 0.0152089 | -0.0194642 | 0.0109667 | -0.0161414 | 0.0136197 | -0.0250724 | 0.0271869 | 0.0160232 | -0.0014964 | -0.0014521 | 0.0145522 | 0.0189258 | -0.0056410 | -0.0040747 | -0.0008545 | 0.0007494 | 0.0124048 | -0.0084713 | 0.0182165 | 0.0301288 | 0.0425009 | -0.0193986 | 0.0050105 | 0.0010376 | 0.0025890 | -0.0014743 | -0.0280274 | 0.0037037 | -0.0285528 | 0.0186631 | -0.0015317 | -0.0190177 | 0.0025496 | -0.0050532 | 0.0106055 | 0.0003111 | 0.0220910 | 0.0146310 | 0.0014784 | -0.0111834 | 0.0027302 | -0.0097190 | 0.0114461 | -0.0242581 | 0.0015555 | 0.0223274 | 0.0079656 | -0.0229841 | -0.6497534 | -0.0059365 | 0.0239297 | -0.0040156 | -0.0045410 | 0.0023624 | 0.0175598 | -0.0008865 | -0.0217101 | 0.0329132 | -0.0158787 | 0.0051090 | 0.0097453 | -0.0012682 | 0.0036972 | -0.0184923 | 0.0221829 | -0.0038449 | -0.0079065 | -0.0042291 | -0.0139218 | 0.0121159 | 0.0065866 | 0.0008668 | 0.0139087 | -0.0153928 | 0.0298924 | 0.0019848 | -0.0023969 | -0.0228133 | -0.0090426 | 0.0192278 | -0.0365381 | -0.0033984 | 0.0658790 | -0.0199896 | 0.0130484 | 0.0255058 | -0.0186762 | 0.0243763 | -0.0337800 | -0.0082152 | 0.0061696 | -0.0092659 | -0.0228659 | 0.0173497 | 0.0074994 | 0.0065406 | -0.0124114 | 0.0018272 | 0.0061335 | -0.0083793 | 0.0046920 | 0.0071776 | 0.0123917 | 0.0122538 | 0.0192804 | 0.0100867 | -0.0239166 | -0.0104545 | -0.0075059 | 0.0022114 | 0.0000460 | -0.0176518 | -0.0142370 | 0.0302602 | -0.0023772 | -0.0065308 | 0.0088719 | 0.0035461 | 0.0048562 | -0.0074468 | -0.0317837 | 0.0057953 | 0.0231811 | 0.0246127 | -0.0054308 | -0.0072695 | 0.0024609 | 0.0296298 | 0.0045541 | 0.0094300 | -0.0112162 | -0.0004572 | 0.0223274 | -0.0105267 | -0.0193198 | -0.0031620 | 0.0244945 | 0.0019865 | 0.0211191 | 0.0171527 | 0.0163515 | -0.0000847 | 0.0076438 | 0.0175598 | 0.0208827 | 0.0305229 | -0.0024577 | 0.0006271 | -0.0135672 | -0.0379303 | 0.0012362 | -0.0020292 | 0.0020095 | -0.0039467 | 0.0054242 | 0.0077095 | 0.0145391 | -0.0153140 | -0.0039204 | -0.0141845 | -0.0191884 | -0.0068230 | 0.0001254 | -0.0335962 | -0.0008619 | 0.0105727 | 0.0125756 | -0.0051550 | 0.0289993 | -0.0235620 | 0.0110849 | -0.0200553 | 0.0099751 | 0.0041076 | 0.0066523 | -0.0237196 | -0.0170608 | -0.0070266 | 0.0036315 | -0.0083005 | 0.0145653 | 0.0041536 | -0.0089310 | 0.0178488 | 0.0053651 | -0.0102706 | -0.0007462 | -0.0270030 | 0.0064388 | 0.0116825 | -0.0091542 | -0.0253613 | -0.0220779 | -0.0146179 | -0.0051616 | 0.0010638 | 0.0000660 | -0.0054833 | 0.0029469 | 0.0134030 | 0.0321514 | 0.0121684 | 0.0144471 | 0.0112819 | -0.0003031 | 0.0049777 | -0.0092724 | -0.0263857 | 0.0135934 | 0.0092199 | 0.0024035 | -0.0109142 | -0.0072433 | -0.0057033 | -0.0400317 | 0.0056935 | -0.0004576 | -0.0028418 | 0.0082152 | -0.0322828 | -0.0009530 | 0.0304966 | -0.0161414 | 0.0113476 | 0.0086026 | -0.0106974 | 0.0146704 | 0.0025956 | -0.0069084 | -0.0265827 | -0.0228527 | 0.0093841 | 0.0341478 | 0.0237327 | -0.0015851 | 0.0227739 | -0.0207907 | -0.0028254 | -0.0026366 | 0.0263595 | -0.0019816 | 0.0034542 | 0.0011952 | 0.0057953 | -0.0189652 | -0.0089441 | 0.0162333 | 0.0177043 | 0.0270555 | -0.0107763 | 0.0169031 | -0.0224193 | 0.0077424 | -0.0057920 | 0.0108419 | -0.0263726 | -0.0058938 | -0.0011853 | 0.0171133 | -0.0287104 | -0.0093250 | 0.0105136 | -0.0053816 | 0.0421068 | -0.0191884 | -0.0030979 | -0.0137379 | 0.0203179 | -0.0209484 | -0.0056639 | 0.0295510 | -0.0051090 | -0.0468350 | -0.0032802 | 0.0115117 | 0.0415815 | 0.0190440 | -0.0150250 | -0.0155110 | 0.0173497 | 0.0273182 | 0.0024314 | 0.0298924 | -0.0283427 | 0.0055063 | -0.0062353 | 0.0284215 | 0.0216182 | 0.0284740 | 0.0314685 | 0.0141057 | 0.0068952 | 0.0138036 | 0.0036315 | 0.0109010 | -0.0048299 | 0.0018584 | -0.0100079 | 0.0043703 | -0.0098175 | -0.0254664 | 0.0107763 | 0.0121159 | -0.0385345 | 0.0020210 | -0.0127463 | 0.0275809 | 0.0404783 | -0.0035100 | 0.0167718 | 0.0214868 | -0.0049481 | -0.0197532 | -0.0049514 | -0.0263463 | -0.0330971 | -0.0123983 | -0.0238903 | 0.0129565 | -0.0050204 | 0.0170345 | -0.0065078 | 0.0111309 | -0.0017025 | 0.0053717 | -0.0011000 | 0.0099226 | 0.0097650 | 0.0050696 | 0.0043900 | 0.0042521 | 0.0117350 | -0.0138561 | -0.0238903 | 0.0091608 | 0.0025808 | -0.0247965 | 0.0128842 | -0.0062156 | 0.0149856 | 0.0192935 | 0.0035888 | -0.0049810 | -0.0100736 | 0.0195430 | 0.0090295 | 0.0337012 | -0.0099423 | 0.0130221 | 0.0193460 | -0.0210666 | -0.0322302 | 0.0002463 | 0.0374312 | 0.0034443 | -0.0384294 | 0.0058215 | 0.0003563 | 0.0161677 | 0.0009809 | -0.0505650 | 0.0239034 | -0.0056738 | -0.0061729 | -0.0141845 | -0.0044359 | 0.0333598 | 0.0129827 | -0.0162990 | -0.0272132 | 0.0034607 | 0.0090492 | 0.1066987 | 0.0310745 | 0.0223537 | 0.0118992 | -0.0297348 | -0.0115183 | -0.0029338 | -0.0302077 | 0.0230366 | 0.0014028 | 0.0175730 | 0.0028681 | 0.0019126 | -0.0010630 | 0.0120240 | 0.0240742 | 0.0150119 | -0.0049383 | 0.0179013 | -0.0065734 | -0.0112359 | -0.0008947 | -0.0002010 | 0.0142370 | 0.0167061 | 0.0007195 | 0.0159707 | 0.0096927 | -0.0166011 | -0.0123589 | -0.0207382 | 0.0154978 | 0.0144209 | 0.0065899 | 0.0003008 | -0.0070134 | 0.0232993 | -0.0098963 | 0.0244682 | 0.0052896 | -0.0235751 | -0.0086026 | 0.0136591 | -0.0099554 | 0.0308118 | 0.0130550 | -0.0060087 | 0.0122210 | -0.0086157 | 0.0160757 | 0.0362229 | 0.0136722 | -0.0077292 | -0.0011656 | -0.0138955 | 0.0404783 | -0.0158787 | -0.0230498 | 0.0019701 | -0.0084844 | -0.0036775 | -0.0115708 | 0.0039861 | -0.0069412 | -0.0393488 | -0.0393225 | -0.0262019 | -0.0078671 | 0.0056442 | -0.0120502 | -0.0056738 | -0.0329657 | -0.0067081 | 0.0186762 | 0.0066424 | 0.0044917 | 0.0126018 | -0.0040353 | -0.0101393 | -0.0031045 | -0.0126215 | -0.0098963 | 0.0074862 | -0.0204755 | 0.0086289 | -0.0186762 | -0.0041897 | -0.0003796 | -0.0166011 | 0.0039500 | 0.0020636 | 0.0055950 | 0.0027187 | -0.0268323 | -0.0064782 | 0.0054571 | -0.0129565 | 0.0211454 | -0.0128251 | -0.0046001 | 0.0021933 | -0.0156554 | 0.0247834 | 0.0101984 | -0.0024150 | 0.0024068 | -0.0007860 | 0.0144077 | -0.0306017 | -0.0125690 | 0.0124311 | -0.0057198 | -0.0150644 | -0.0243894 | 0.0017550 | 0.0249147 | -0.0113410 | 0.0391386 | -0.0136066 | -0.0004367 | -0.0125230 | 0.0127988 | 0.0390861 | 0.0041995 | -0.0072236 | 0.0183085 | -0.0055063 | -0.0289731 | -0.0032785 | 0.0110258 | -0.0220779 | 0.0211060 | -0.0046100 | -0.0248228 | -0.0079459 | -0.0040846 | 0.0002055 | -0.0060809 | 0.0059365 | 0.0075650 | -0.0231811 | -0.0056541 | 0.0129236 | -0.0107697 | 0.0200290 | -0.0238246 | 0.0098109 | 0.0237327 | -0.0259654 | 0.0013232 | -0.0114723 | 0.0149068 | -0.0321514 | -0.0140006 | 0.0027105 | -0.0271344 | -0.0237590 | -0.0098241 | 0.0136854 | 0.0142764 | 0.0326505 | -0.0176912 | 0.0203705 | 0.0040846 | -0.0077489 | 0.0020719 | 0.0180983 | -0.0192278 | -0.0076701 | 0.0173103 | -0.0097847 | -0.0041306 | -0.0119123 | -0.0093972 | 0.0068230 | 0.0010720 | -0.0093447 | -0.0076504 | 0.0239034 | -0.0098175 | -0.0373262 | -0.0032211 | 0.0078474 | 0.0030240 | 0.0009300 | -0.0201997 | 0.0096402 | 0.0087602 | 0.0149462 | 0.0128645 | 0.0185186 | -0.0015629 | 0.0149068 | -0.0072827 | -0.0028960 | -0.0018305 | -0.0103428 | -0.0286579 | 0.0097781 | -0.0116956 | 0.0204099 | 0.0107631 | 0.0047905 | 0.0244419 | 0.0029879 | 0.0210403 | 0.0125690 | -0.0167061 | -0.0005541 | -0.0183873 | 0.0045049 | -0.0087996 | -0.0115380 | -0.0342266 | 0.0091936 | 0.0043998 | -0.0335174 | -0.0081626 | 0.0054242 | -0.0100014 | -0.0149331 | -0.0140531 | -0.0018223 | 0.0164303 | 0.0330445 | 0.0474917 | -0.0048792 | 0.0032276 | 0.0102706 | 0.0007716 | 0.0027909 | 0.0205675 | 0.0259917 | -0.0072761 | -0.0118401 | 0.0072892 | 0.0304178 | -0.0115511 | -0.0240085 | 0.0058872 | -0.0093644 | -0.0015785 | -0.0238640 | 0.0051977 | -0.0346731 | 0.0100408 | -0.0186237 | -0.0082546 | 0.0169688 | -0.0018814 | -0.0114329 | 0.0131338 | -0.0102378 | 0.0316786 | 0.0147755 | -0.0244419 | 0.0155372 | 0.0072236 | -0.0258866 | -0.0067639 | 0.0030306 | 0.0228265 | -0.0053848 | 0.0268323 | 0.0273445 | 0.0093972 | -0.0080247 | 0.0061203 | -0.0139612 | 0.0300763 | -0.0350671 | -0.0092199 | -0.0204493 | -0.0028944 | -0.0016507 | -0.0250330 | -0.0196481 | -0.0302602 | 0.0081035 | 0.0193329 | 0.0091608 | 0.0241530 | -0.0332284 | -0.0203573 | 0.0053225 | -0.0114986 | 0.0195299 | -0.0226820 | 0.0177962 | -0.0154716 | -0.0244945 | -0.0055720 | 0.0060251 | 0.0206594 | 0.0050926 | 0.0003052 | 0.0053914 | -0.0027400 | -0.0164829 | 0.0134490 | -0.0121881 | -0.0033787 | -0.0201341 | 0.0152746 | 0.0015301 | -0.0226820 | -0.0058971 | 0.0098372 | -0.0031242 | -0.0064257 | 0.0197400 | 0.0025151 | -0.0009998 | 0.0065570 | 0.0224062 | 0.0186105 | 0.0063863 | -0.0394013 | -0.0250330 | 0.0202654 | -0.0123654 | -0.0088193 | 0.0088587 | 0.0058642 | 0.0056081 | -0.0109404 | 0.0053816 | 0.0142501 | -0.0374050 | -0.0039303 | 0.0119386 | 0.0332547 | -0.0031833 | -0.0200815 | -0.0228133 | -0.0275284 | -0.0096073 | 0.0134030 | -0.0237590 | 0.0074337 | -0.0135540 | 0.0217101 | 0.0193592 | 0.0060185 | -0.0081298 | 0.0016130 | 0.0114329 | -0.0072761 | -0.0167718 | -0.0258604 | -0.0145785 | 0.0342003 | 0.0285528 | -0.0165223 | -0.0282113 | -0.0119780 | -0.0104019 | -0.0223143 | -0.0216707 | 0.0167324 | 0.0374050 | -0.0094563 | -0.0124180 | 0.0127003 | 0.0271869 | 0.0184529 | -0.0272132 | -0.0232993 | 0.0103494 | 0.0058905 | 0.0311796 | -0.0136985 | -0.0076636 | -0.0141976 | 0.0105004 | 0.0350146 | 0.0150776 | 0.0230629 | 0.0083596 | 0.0080116 | -0.0249935 | -0.0061597 | 0.0313897 | -0.0065997 | 0.0032522 | -0.0323616 | 0.0028714 | 0.0076438 | -0.0055851 | 0.0124311 | -0.0073812 | 0.0199108 | 0.0009300 | 0.0029173 | 0.0028861 | -0.0024084 | -0.0291570 | -0.0025332 | 0.0157474 | -0.0018141 | -0.0115117 | 0.0161545 | 0.0209484 | -0.0078606 | -0.0098044 | 0.0051911 | -0.0079722 | -0.0132388 | 0.0080773 | -0.0076833 | -0.0142370 | 0.0079262 | -0.0032670 | -0.0199371 | -0.0002988 | 0.0028008 | -0.0164960 | 0.0015498 | 0.0193460 | 0.0056672 | 0.0132848 | -0.0038416 | 0.0147623 | -0.0175204 | 0.0010409 | -0.0067179 | 0.0164960 | -0.0157474 | -0.0121816 | 0.0069018 | -0.0047577 | 0.0109273 | 0.0109207 | 0.0178356 | -0.0212373 | -0.0038154 | 0.2452336 | -0.0222880 | -0.0136854 | 0.0275546 | 0.0027991 | 0.0231942 | 0.0064979 | 0.0224325 | 0.0141976 | -0.0136066 | -0.0037858 | -0.0145522 | -0.0152089 | -0.0081955 | 0.0061696 | -0.0041601 | -0.0320464 | -0.0089835 | -0.0131009 | -0.0065537 | 0.0072104 | -0.0069478 | 0.0126084 | 0.0069872 | 0.0216313 | -0.0120437 | 0.0214080 | 0.0109930 | 0.0208827 | 0.0084122 | -0.0333860 | -0.0075256 | 0.0216970 | -0.0063173 | 0.0076898 | -0.0029157 | 0.0052568 | -0.0208695 | 0.0073418 | 0.0272132 | 0.0061729 | 0.0115708 | -0.0167455 | -0.0235488 | 0.0046297 | -0.0244288 | -0.0136854 | 0.0068296 | 0.0068493 | -0.0067967 | -0.0306279 | -0.0210272 | 0.0204361 | 0.0202391 | 0.0013758 | -0.0228396 | 0.0385870 | -0.0014143 | 0.0292883 | 0.0017665 | -0.0113082 | 0.0351197 | -0.0133176 | 0.0162596 | -0.0176780 | -0.0010179 | -0.0028582 | 0.0217101 | 0.0251118 | -0.0143552 | 0.0102246 | -0.0302865 | 0.0118138 | -0.0243369 | -0.0003809 | -0.0329920 | 0.0196875 | 0.0051583 | 0.0306805 | 0.0177568 | -0.0167061 | 0.0123851 | 0.0044622 | -0.0111834 | -0.0364593 | -0.0125230 | 0.0105530 | 0.0130024 | 0.0095154 | 0.0027679 | -0.0205543 | -0.0144603 | -0.0142107 | -0.0200684 | -0.0013331 | 0.0301026 | -0.0096533 | 0.0307067 | 0.0017501 | 0.0094038 | -0.0105661 | -0.0001251 | 0.0031587 | -0.0088653 | -0.0099423 | -0.0241005 | 0.0039401 | 0.0301551 | 0.0133111 | -0.0398478 | 0.0230892 | -0.0317574 | 0.0177437 | 0.0006407 | 0.0034607 | 0.0207251 | 0.0062779 | 0.0001252 | 0.0033524 | -0.0065702 | -0.0083662 | -0.0145916 | -0.0139087 | 0.0089901 | 0.0206331 | -0.0198976 | -0.0077227 | 0.0159707 | 0.0094694 | 0.0037234 | -0.0079853 | 0.0079985 | 0.0047314 | -0.0037136 | -0.0199239 | -0.0187025 | -0.0245470 | -0.0181115 | -0.0073089 | 0.0027811 | -0.0264908 | -0.0029420 | -0.0071973 | 0.0040518 | 0.0014070 | -0.0205412 | -0.0050860 | -0.0003119 | 0.0006690 | 0.0009694 | -0.0057427 | -0.0025693 | 0.0036315 | -0.0183610 | 0.0389285 | -0.0175861 | -0.0049514 | -0.0180852 | -0.0002495 | 0.0262544 | -0.0080182 | 0.0065078 | 0.0100408 | 0.0048267 | -0.0124705 | -0.0024281 | -0.1662209 | 0.0216576 | 0.0208564 | 0.0035198 | 0.0133045 | -0.0061466 | 0.0136591 | 0.0120502 | 0.0010343 | -0.0038942 | 0.0147755 | 0.0107172 | -0.0170345 | -0.0266878 | 0.0083990 | 0.0069412 | -0.0386921 | 0.0396902 | 0.0224062 | 0.0202391 | -0.0154584 | -0.0187287 | 0.0264908 | 0.0024971 | 0.0045870 | -0.0023411 | 0.0026875 | 0.0292095 | -0.0101196 | -0.0078737 | -0.0463622 | -0.0005446 | 0.0224456 | 0.0011730 | -0.0053257 | -0.0025430 | 0.0084581 | -0.0160889 | -0.0241793 | 0.0285003 | 0.0018322 | 0.0418442 | 0.0043473 | -0.0126018 | -0.0210928 | 0.0085632 | 0.0029797 | 0.0039106 | -0.0011336 | -0.0176912 | -0.0104085 | -0.0231417 | 0.0242581 | -0.0053060 | 0.0289993 | 0.0064454 | 0.0008964 | 0.0035560 | -0.0032555 | -0.0093709 | 0.0069937 | -0.0020357 | 0.0071710 | -0.0057001 | -0.0062287 | -0.0173366 | -0.0077555 | 0.0062944 | -0.0189258 | 0.0178094 | -0.0065669 | 0.0110980 | 0.0159444 | -0.0343054 | 0.0075585 | -0.0006173 | 0.0011829 | 0.0382192 | 0.0152877 | 0.0007105 | 0.0127397 | 0.0533756 | 0.0042192 | 0.0102443 | 0.0109142 | 0.0035658 | -0.0038515 | 0.0319938 | -0.0372211 | 0.0041109 | 0.0303653 | 0.0078015 | -0.0048004 | 0.0083596 | 0.0064881 | 0.0319150 | -0.0159313 | 0.0140137 | 0.0241005 | -0.0279486 | -0.0020456 | 0.0011656 | -0.0311533 | 0.0287892 | -0.0153928 | 0.0024183 | 0.0070397 | 0.0200815 | 0.0085107 | -0.0101590 | -0.0478857 | -0.0028451 | 0.0132717 | 0.0402944 | 0.0206857 | -0.0004006 | 0.0120831 | -0.0137510 | 0.0083005 | 0.0090754 | 0.0425271 | -0.0022672 | -0.0249935 | 0.0012797 | -0.0109930 | -0.0123195 | -0.1178886 | -0.0495931 | 0.0055162 | 0.0220647 | 0.0135934 | 0.0054439 | 0.0205937 | 0.0064749 | -0.0226426 | 0.0324929 | 0.0160232 | -0.0173760 | 0.0174679 | -0.0158787 | 0.0208170 | -0.0001022 | -0.0096139 | -0.0186631 | -0.0077489 | 0.0159444 | -0.0338588 | -0.0007831 | 0.0043407 | 0.0089769 | -0.0169951 | 0.0020062 | -0.0008163 | 0.0234569 | 0.0031505 | -0.0019668 | 0.0113344 | -0.0121028 | 0.0136722 | -0.0182297 | -0.0066030 | -0.0060678 | -0.0369847 | -0.0188863 | -0.0019323 | -0.0475968 | 0.0039171 | -0.0110718 | -0.0064848 | -0.0197532 | -0.0212373 | -0.0169820 | -0.0096073 | 0.0299187 | 0.0073812 | -0.0275021 | -0.0351985 | 0.0112359 | -0.0160626 | -0.0151301 | 0.0077489 | -0.0306805 | 0.0043079 | -0.0057033 | -0.0300238 | 0.0127397 | -0.0002280 | -0.0001058 | -0.0027121 | 0.0048431 | -0.0291832 | -0.0086223 | -0.0117744 | -0.0281062 | 0.0090886 | -0.0067179 | -0.0422907 | 0.0023592 | -0.0244813 | 0.0358814 | -0.0313109 | 0.0065439 | -0.0057723 | -0.0127200 | 0.0277910 | 0.0021753 | -0.0113476 | -0.0175073 | 0.0349621 | -0.0096533 | 0.0384819 | 0.0216313 | 0.0113870 | -0.0074600 | -0.0055293 | 0.0022180 | -0.0246783 | 0.0050893 | 0.0123260 | 0.0015851 | -0.0273445 | 0.0102049 | 0.0055917 | -0.0024478 | 0.0012748 | 0.0042586 | -0.0269505 | -0.0374050 | -0.0543212 | 0.0249279 | -0.0093118 | -0.0018469 | 0.0011558 | 0.0060317 | 0.0074271 | 0.0034837 | 0.0192672 | -0.0038055 | -0.0078474 | 0.0140531 | -0.0255846 | -0.0073615 | -0.0205806 | -0.0157868 | 0.0140925 | 0.0080444 | -0.0077227 | -0.0287892 | 0.0138561 | 0.0036315 | 0.0162727 | 0.0110455 | -0.0097781 | 0.0023411 | -0.0114723 | 0.0091477 | -0.0121684 | -0.0271606 | 0.0105924 | -0.0356976 | -0.0385082 | 0.0149725 | 0.0193854 | -0.0440769 | -0.0035954 | 0.0215788 | -0.0012855 | -0.0215656 | -0.0213292 | -0.0171002 | -0.0148806 | -0.0194117 | -0.0006009 | -0.0069478 | -0.0059036 | -0.0138693 | 0.0090820 | 0.0163515 | 0.0144209 | 0.0297348 | 0.0047446 | -0.0289468 | -0.0102443 | -0.0291832 | 0.0072170 | 0.0024429 | -0.0073418 | -0.0397428 | 0.0310219 | 0.0034181 | 0.0219465 | 0.0141188 | 0.0331496 | -0.0043538 | 0.0016393 | -0.0181771 | 0.0056213 | -0.0049875 | -0.0016893 | -0.0036216 | 0.0099226 | 0.0277385 | 0.0313109 | 0.0130156 | -0.0197138 | -0.0195824 | -0.0179407 | 0.0158787 | 0.0002900 | -0.0066818 | -0.0239954 | 0.0139743 | 0.0115183 | 0.0184661 | -0.0134358 | 0.0116234 | -0.0275809 | 0.0034804 | -0.0325192 | -0.0017254 | -0.0016417 | 0.0123063 | 0.0161677 | 0.0314422 | 0.0090492 | 0.0114789 | 0.0177306 | 0.0312058 | 0.0151170 | 0.0192804 | -0.0186893 | -0.0213424 | -0.0086814 | 0.0126806 | -0.0123195 | -0.0252037 | 0.0034509 | 0.0063797 | 0.0174679 | -0.0196612 | -0.0137379 | 0.0162727 | -0.0041930 | -0.0077161 | 0.0001036 | -0.0133570 | -0.0067311 | 0.0120634 | 0.0188469 | -0.0254007 | 0.0110718 | 0.0128777 | 0.0049744 | 0.0146573 | 0.0318625 | -0.0128448 | -0.0014135 | -0.0096270 | -0.0067573 | -0.0069675 | -0.0058018 | -0.0248753 | 0.0242187 | -0.0077752 | -0.0010343 | 0.0100342 | -0.0467562 | 0.0678753 | 0.0214343 | 0.0031160 | 0.0212242 | -0.0089572 | 0.0112622 | -0.0016573 | 0.0109076 | -0.0187813 | 0.0279224 | 0.0190308 | 0.0020029 | -0.0004264 | -0.0348833 | -0.0085501 | -0.0202654 | -0.0060514 | 0.0219597 | -0.0333598 | -0.0122275 | 0.0229578 | -0.0113607 | 0.0225901 | 0.0158525 | -0.0149068 | -0.0371160 | 0.0127660 | 0.0026547 | 0.0121290 | -0.0412400 | 0.0010844 | -0.0002924 | -0.0056147 | -0.0135409 | -0.0173366 | -0.0097387 | 0.0081626 | -0.0164435 | 0.0126741 | -0.0097912 | -0.0068690 | 0.0193066 | -0.0343054 | -0.0260180 | -0.0029732 | 0.0146179 | -0.0194248 | 0.0163647 | -0.0269505 |
This section showcases two datasets that are subsequently utilized in this notebook within the functions of the HVT package.
dataset_raw <- data[,-1] #removing the s.no column
dataset <- data[,-c(1:3)] #removing the categorical columndataset_raw - The embeddings dataset with all the
columns that includes both categorical and numerical.dim(dataset_raw)## [1] 297 1538
The dimension of dataset_raw is 297 rows and 1538
columns (1536 numerical + 2 categorical columns).
Here we are displaying the dataset_raw with the first 10
rows and 1538 columns.
Table(dataset_raw[1:10,], scroll = T)| tweets | username | E1 | E2 | E3 | E4 | E5 | E6 | E7 | E8 | E9 | E10 | E11 | E12 | E13 | E14 | E15 | E16 | E17 | E18 | E19 | E20 | E21 | E22 | E23 | E24 | E25 | E26 | E27 | E28 | E29 | E30 | E31 | E32 | E33 | E34 | E35 | E36 | E37 | E38 | E39 | E40 | E41 | E42 | E43 | E44 | E45 | E46 | E47 | E48 | E49 | E50 | E51 | E52 | E53 | E54 | E55 | E56 | E57 | E58 | E59 | E60 | E61 | E62 | E63 | E64 | E65 | E66 | E67 | E68 | E69 | E70 | E71 | E72 | E73 | E74 | E75 | E76 | E77 | E78 | E79 | E80 | E81 | E82 | E83 | E84 | E85 | E86 | E87 | E88 | E89 | E90 | E91 | E92 | E93 | E94 | E95 | E96 | E97 | E98 | E99 | E100 | E101 | E102 | E103 | E104 | E105 | E106 | E107 | E108 | E109 | E110 | E111 | E112 | E113 | E114 | E115 | E116 | E117 | E118 | E119 | E120 | E121 | E122 | E123 | E124 | E125 | E126 | E127 | E128 | E129 | E130 | E131 | E132 | E133 | E134 | E135 | E136 | E137 | E138 | E139 | E140 | E141 | E142 | E143 | E144 | E145 | E146 | E147 | E148 | E149 | E150 | E151 | E152 | E153 | E154 | E155 | E156 | E157 | E158 | E159 | E160 | E161 | E162 | E163 | E164 | E165 | E166 | E167 | E168 | E169 | E170 | E171 | E172 | E173 | E174 | E175 | E176 | E177 | E178 | E179 | E180 | E181 | E182 | E183 | E184 | E185 | E186 | E187 | E188 | E189 | E190 | E191 | E192 | E193 | E194 | E195 | E196 | E197 | E198 | E199 | E200 | E201 | E202 | E203 | E204 | E205 | E206 | E207 | E208 | E209 | E210 | E211 | E212 | E213 | E214 | E215 | E216 | E217 | E218 | E219 | E220 | E221 | E222 | E223 | E224 | E225 | E226 | E227 | E228 | E229 | E230 | E231 | E232 | E233 | E234 | E235 | E236 | E237 | E238 | E239 | E240 | E241 | E242 | E243 | E244 | E245 | E246 | E247 | E248 | E249 | E250 | E251 | E252 | E253 | E254 | E255 | E256 | E257 | E258 | E259 | E260 | E261 | E262 | E263 | E264 | E265 | E266 | E267 | E268 | E269 | E270 | E271 | E272 | E273 | E274 | E275 | E276 | E277 | E278 | E279 | E280 | E281 | E282 | E283 | E284 | E285 | E286 | E287 | E288 | E289 | E290 | E291 | E292 | E293 | 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| Metaverse VR creates own Ecosystem with P2E Games and NFT Technology. is high potential hidden gem project. Join the world now ! | 10Ronaldinho | 0.0186696 | -0.0240860 | -0.0087460 | -0.0441946 | 0.0064009 | 0.0023337 | -0.0188658 | -0.0185518 | -0.0161314 | -0.0182640 | -0.0091909 | 0.0166809 | -0.0095964 | -0.0345655 | 0.0267287 | 0.0068490 | 0.0134887 | -0.0256036 | 0.0082358 | -0.0037941 | 0.0112122 | 0.0089554 | -0.0082096 | -0.0285734 | 0.0034441 | 0.0260615 | -0.0025806 | -0.0138811 | 0.0136718 | 0.0178846 | 0.0014768 | -0.0098254 | 0.0010507 | -0.0151895 | -0.0070322 | -0.0037319 | 0.0125532 | 0.0036077 | 0.0118533 | 0.0150979 | 0.0181724 | 0.0043469 | -0.0099301 | -0.0063191 | -0.0293061 | -0.0090731 | -0.0167333 | 0.0173743 | 0.0049225 | -0.0076274 | -0.0063682 | 0.0135933 | 0.0011987 | -0.0150979 | -0.0180023 | -0.0002623 | 0.0090666 | -0.0072742 | -0.0017188 | -0.0160006 | 0.0096422 | -0.0260615 | -0.0209198 | 0.0059332 | -0.0212338 | 0.0037941 | -0.0079414 | 0.0244523 | -0.0023893 | -0.0033051 | 0.0201479 | 0.0073658 | 0.0280501 | -0.0000513 | 0.0226206 | 0.0197947 | 0.0106823 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| Smile for the camera, guys! has released the music video for their new song “Fall.” | 1LoganHenderson | -0.0006994 | -0.0086376 | 0.0052519 | -0.0179813 | 0.0165942 | 0.0412334 | 0.0012586 | -0.0157242 | -0.0012389 | -0.0127861 | 0.0141858 | -0.0081143 | -0.0248031 | -0.0266315 | 0.0237565 | -0.0068218 | 0.0179687 | -0.0339703 | 0.0140597 | -0.0166069 | 0.0001847 | 0.0109325 | 0.0039689 | -0.0074208 | -0.0147532 | -0.0049934 | 0.0218903 | -0.0148919 | 0.0293047 | 0.0116891 | -0.0024825 | -0.0018331 | -0.0220416 | -0.0281194 | -0.0228738 | -0.0049713 | -0.0302631 | -0.0111343 | -0.0013130 | -0.0146398 | 0.0016550 | -0.0196836 | -0.0020301 | -0.0373244 | -0.0159890 | -0.0039846 | -0.0031650 | -0.0127735 | -0.0042904 | 0.0037230 | -0.0077045 | -0.0020601 | -0.0243492 | -0.0273628 | 0.0099301 | -0.0062859 | 0.0147785 | 0.0121935 | 0.0152324 | 0.0096400 | -0.0302631 | 0.0090096 | 0.0019324 | -0.0060368 | -0.0098166 | -0.0038648 | -0.0184479 | -0.0060085 | -0.0182965 | 0.0035212 | 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| Happy birthday, Curtis! 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| BMF fire Whole cast and crew. 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-0.0171524 | 0.0121548 | 0.0312676 | -0.0263136 | 0.0214093 | 0.0058160 | 0.0075431 | 0.0044406 | -0.0275334 | 0.0235876 | 0.0067402 | -0.0197788 | -0.0078978 | -0.0055639 | 0.0037404 | 0.0009320 | -0.0239361 | 0.0043192 | -0.0005103 | 0.0138912 | -0.0127398 | -0.0027462 | 0.0135800 | -0.0099641 | 0.0139161 | -0.0040454 | -0.0143144 | -0.0123042 | 0.0092732 | -0.0188701 | 0.0002206 | 0.0037684 | 0.0040174 | -0.0102939 | -0.0226541 | -0.0081468 | -0.0043254 | -0.0125158 | -0.0123166 | 0.0055951 | 0.0013995 | 0.0092234 | 0.0002239 | -0.0261144 | 0.0094599 | 0.0101632 | -0.0239859 | 0.0104744 | 0.0266870 | -0.0096529 | 0.0233387 | -0.0112026 | -0.0044219 | -0.0046335 | -0.0270355 | 0.0122419 | -0.0015310 | -0.0077049 | -0.0226167 | 0.0149865 | -0.0133435 | 0.0073252 | -0.0220939 | -0.0080161 | 0.0208368 | -0.0122232 | -0.0108540 | -0.0015722 | 0.0312427 | 0.0048233 | -0.0174138 | -0.0243096 | -0.0060214 | -0.0136920 | -0.0173266 | 0.0034852 | 0.0067527 | -0.0064975 | -0.0213222 | -0.0072505 | 0.0063668 | -0.0265376 | 0.0031694 | 0.0023868 | -0.0044126 | 0.0127585 | 0.0010642 | 0.0033172 | 0.0166669 | 0.0049042 | 0.0325372 | -0.0072941 | -0.0127025 | -0.0089123 | 0.0051034 | -0.0081841 | -0.0126278 | 0.0082837 | -0.0001557 | -0.0037217 | -0.0102068 | -0.0062672 | -0.0076738 | 0.0278819 | 0.0225296 | -0.0174387 | 0.0357984 | -0.0018453 | -0.0210857 | 0.0217454 | -0.0105366 | 0.0033608 | 0.0195796 | 0.0136422 | -0.0212475 | -0.0166047 | 0.0028333 | 0.0231271 | 0.0405782 | -0.0358980 | -0.0346533 | 0.0106424 | -0.0395824 | -0.0219321 | 0.0062797 | -0.0158703 | 0.0043503 | -0.0076862 | -0.0199655 | 0.0019060 | 0.0194053 | -0.0311680 | 0.0025548 | -0.0023557 | -0.0256414 | 0.0050412 | -0.0009413 | -0.0146007 | -0.0232018 | 0.0012214 | 0.0077049 | 0.0317904 | -0.0082214 | -0.0094475 | 0.0137543 | 0.0035164 | 0.0051096 | 0.0127336 | -0.0335579 | -0.0113084 | 0.0050598 | -0.0039582 | 0.0134804 | -0.0084268 | 0.0131070 | 0.0028924 | -0.0078293 | -0.0270355 | 0.0138663 | -0.0178245 | -0.0033141 | -0.0121299 | 0.0180237 | 0.0019464 | 0.0138289 | 0.0063263 | 0.0089123 | 0.0044655 | 0.0259900 | -0.0227910 | -0.0073875 | -0.0177872 | 0.0047735 | -0.0007647 | 0.0312676 | -0.0097711 | 0.0077235 | 0.0166918 | -0.0104931 | 0.0078542 | 0.0053554 | 0.0006469 | 0.0075244 | -0.0126776 | 0.0013949 | -0.0250440 | -0.0180859 | 0.0105366 | 0.0483702 | 0.0136422 | -0.0221935 | 0.0015318 | 0.0041356 | -0.0102877 | 0.0196418 | 0.0235876 | -0.0359976 | -0.0172146 | 0.0157458 | 0.0228906 | 0.0082650 | 0.0313423 | -0.0028893 | -0.0012478 | 0.0146629 | 0.0134929 | -0.0095284 | 0.0060338 | -0.0125220 | -0.0146629 | -0.0096715 | -0.0323879 | -0.0123290 | -0.0222807 | 0.0078854 | -0.0236872 | 0.0033265 | 0.0105242 | 0.0101134 | 0.0060027 | -0.0124224 | 0.0064104 | -0.0214840 | 0.0091550 | -0.0084766 | 0.0006706 | -0.0232391 | -0.0196418 | 0.0083148 | 0.0075368 | 0.0418478 | -0.0158703 | -0.0185465 | 0.0260646 | -0.0029344 | 0.0208492 | 0.0114826 | 0.0137045 | 0.0208368 | 0.0246705 | 0.0231520 | 0.0010323 | -0.0041574 | -0.0263634 | 0.0304959 | 0.0163309 | -0.0130199 | 0.0040609 | 0.0010627 | 0.0200775 | -0.0068771 | -0.0132688 | 0.0084517 | 0.0102503 | -0.0089309 | -0.0228408 | -0.0020320 | 0.0177872 | 0.0027695 | 0.0131568 | -0.0176254 | -0.0366697 | 0.0159823 | -0.0059062 | 0.0106673 | 0.0081468 | -0.0254921 |
| Can’t wait to see the results! Let’s get the show on the road guys party popper | 5SOS | -0.0083005 | -0.0057657 | 0.0088784 | -0.0332547 | 0.0140663 | 0.0252694 | -0.0029485 | 0.0245733 | -0.0263332 | -0.0070988 | -0.0016466 | 0.0263332 | -0.0033984 | -0.0156160 | 0.0235882 | 0.0035921 | 0.0285003 | -0.0287367 | 0.0028484 | -0.0237327 | -0.0007782 | -0.0237064 | -0.0178356 | -0.0054210 | -0.0198451 | -0.0087602 | 0.0226163 | -0.0259654 | -0.0027844 | 0.0002865 | 0.0007860 | 0.0133767 | -0.0141057 | -0.0246389 | -0.0123851 | -0.0400580 | -0.0206331 | -0.0016409 | 0.0300763 | -0.0024938 | 0.0050532 | 0.0000834 | -0.0024691 | -0.0229578 | -0.0162071 | 0.0040518 | -0.0131535 | -0.0105530 | 0.0157868 | 0.0161808 | 0.0127857 | -0.0116037 | -0.0136854 | -0.0144997 | 0.0168506 | -0.0065176 | 0.0154059 | 0.0180983 | -0.0169294 | -0.0063173 | 0.0112425 | 0.0138824 | -0.0240742 | 0.0116102 | -0.0033885 | -0.0256108 | -0.0360128 | 0.0057920 | 0.0180195 | 0.0227083 | 0.0209878 | 0.0071579 | -0.0076636 | -0.0224981 | 0.0183741 | -0.0085435 | -0.0269242 | -0.0159444 | 0.0160495 | 0.0267272 | 0.0324929 | -0.0226557 | -0.0233781 | 0.0257028 | 0.0088916 | 0.0287892 | 0.0106186 | -0.0018666 | -0.0363805 | -0.0256108 | -0.0106383 | 0.0304441 | -0.0013429 | -0.0125756 | -0.0049547 | -0.0035888 | -0.0190965 | 0.0212110 | -0.0153796 | -0.0113344 | -0.0016434 | -0.0166142 | -0.0000873 | -0.0162333 | -0.0022787 | 0.0059397 | -0.0036676 | -0.0045311 | 0.0093841 | -0.0139087 | -0.0200027 | 0.0027860 | -0.0080707 | -0.0006468 | -0.0194905 | 0.0015580 | 0.0106318 | -0.0015958 | -0.0216970 | -0.0306279 | 0.0119911 | -0.0145128 | 0.0442082 | 0.0026924 | 0.0118861 | 0.0040649 | -0.0279749 | -0.0170476 | 0.0315998 | -0.0208039 | -0.0003105 | -0.0118532 | 0.0007839 | 0.0052272 | -0.0191753 | 0.0276334 | 0.0092593 | 0.0140531 | -0.0226820 | 0.0084713 | 0.0190440 | 0.0317574 | 0.0032046 | -0.0249410 | 0.0069281 | 0.0302602 | 0.0152089 | -0.0194642 | 0.0109667 | -0.0161414 | 0.0136197 | -0.0250724 | 0.0271869 | 0.0160232 | -0.0014964 | -0.0014521 | 0.0145522 | 0.0189258 | -0.0056410 | -0.0040747 | -0.0008545 | 0.0007494 | 0.0124048 | -0.0084713 | 0.0182165 | 0.0301288 | 0.0425009 | -0.0193986 | 0.0050105 | 0.0010376 | 0.0025890 | -0.0014743 | -0.0280274 | 0.0037037 | -0.0285528 | 0.0186631 | -0.0015317 | -0.0190177 | 0.0025496 | -0.0050532 | 0.0106055 | 0.0003111 | 0.0220910 | 0.0146310 | 0.0014784 | -0.0111834 | 0.0027302 | -0.0097190 | 0.0114461 | -0.0242581 | 0.0015555 | 0.0223274 | 0.0079656 | -0.0229841 | -0.6497534 | -0.0059365 | 0.0239297 | -0.0040156 | -0.0045410 | 0.0023624 | 0.0175598 | -0.0008865 | -0.0217101 | 0.0329132 | -0.0158787 | 0.0051090 | 0.0097453 | -0.0012682 | 0.0036972 | -0.0184923 | 0.0221829 | -0.0038449 | -0.0079065 | -0.0042291 | -0.0139218 | 0.0121159 | 0.0065866 | 0.0008668 | 0.0139087 | -0.0153928 | 0.0298924 | 0.0019848 | -0.0023969 | -0.0228133 | -0.0090426 | 0.0192278 | -0.0365381 | -0.0033984 | 0.0658790 | -0.0199896 | 0.0130484 | 0.0255058 | -0.0186762 | 0.0243763 | -0.0337800 | -0.0082152 | 0.0061696 | -0.0092659 | -0.0228659 | 0.0173497 | 0.0074994 | 0.0065406 | -0.0124114 | 0.0018272 | 0.0061335 | -0.0083793 | 0.0046920 | 0.0071776 | 0.0123917 | 0.0122538 | 0.0192804 | 0.0100867 | -0.0239166 | -0.0104545 | -0.0075059 | 0.0022114 | 0.0000460 | -0.0176518 | -0.0142370 | 0.0302602 | -0.0023772 | -0.0065308 | 0.0088719 | 0.0035461 | 0.0048562 | -0.0074468 | -0.0317837 | 0.0057953 | 0.0231811 | 0.0246127 | -0.0054308 | -0.0072695 | 0.0024609 | 0.0296298 | 0.0045541 | 0.0094300 | -0.0112162 | -0.0004572 | 0.0223274 | -0.0105267 | -0.0193198 | -0.0031620 | 0.0244945 | 0.0019865 | 0.0211191 | 0.0171527 | 0.0163515 | -0.0000847 | 0.0076438 | 0.0175598 | 0.0208827 | 0.0305229 | -0.0024577 | 0.0006271 | -0.0135672 | -0.0379303 | 0.0012362 | -0.0020292 | 0.0020095 | -0.0039467 | 0.0054242 | 0.0077095 | 0.0145391 | -0.0153140 | -0.0039204 | -0.0141845 | -0.0191884 | -0.0068230 | 0.0001254 | -0.0335962 | -0.0008619 | 0.0105727 | 0.0125756 | -0.0051550 | 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0.0075585 | -0.0006173 | 0.0011829 | 0.0382192 | 0.0152877 | 0.0007105 | 0.0127397 | 0.0533756 | 0.0042192 | 0.0102443 | 0.0109142 | 0.0035658 | -0.0038515 | 0.0319938 | -0.0372211 | 0.0041109 | 0.0303653 | 0.0078015 | -0.0048004 | 0.0083596 | 0.0064881 | 0.0319150 | -0.0159313 | 0.0140137 | 0.0241005 | -0.0279486 | -0.0020456 | 0.0011656 | -0.0311533 | 0.0287892 | -0.0153928 | 0.0024183 | 0.0070397 | 0.0200815 | 0.0085107 | -0.0101590 | -0.0478857 | -0.0028451 | 0.0132717 | 0.0402944 | 0.0206857 | -0.0004006 | 0.0120831 | -0.0137510 | 0.0083005 | 0.0090754 | 0.0425271 | -0.0022672 | -0.0249935 | 0.0012797 | -0.0109930 | -0.0123195 | -0.1178886 | -0.0495931 | 0.0055162 | 0.0220647 | 0.0135934 | 0.0054439 | 0.0205937 | 0.0064749 | -0.0226426 | 0.0324929 | 0.0160232 | -0.0173760 | 0.0174679 | -0.0158787 | 0.0208170 | -0.0001022 | -0.0096139 | -0.0186631 | -0.0077489 | 0.0159444 | -0.0338588 | -0.0007831 | 0.0043407 | 0.0089769 | -0.0169951 | 0.0020062 | -0.0008163 | 0.0234569 | 0.0031505 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0.0074271 | 0.0034837 | 0.0192672 | -0.0038055 | -0.0078474 | 0.0140531 | -0.0255846 | -0.0073615 | -0.0205806 | -0.0157868 | 0.0140925 | 0.0080444 | -0.0077227 | -0.0287892 | 0.0138561 | 0.0036315 | 0.0162727 | 0.0110455 | -0.0097781 | 0.0023411 | -0.0114723 | 0.0091477 | -0.0121684 | -0.0271606 | 0.0105924 | -0.0356976 | -0.0385082 | 0.0149725 | 0.0193854 | -0.0440769 | -0.0035954 | 0.0215788 | -0.0012855 | -0.0215656 | -0.0213292 | -0.0171002 | -0.0148806 | -0.0194117 | -0.0006009 | -0.0069478 | -0.0059036 | -0.0138693 | 0.0090820 | 0.0163515 | 0.0144209 | 0.0297348 | 0.0047446 | -0.0289468 | -0.0102443 | -0.0291832 | 0.0072170 | 0.0024429 | -0.0073418 | -0.0397428 | 0.0310219 | 0.0034181 | 0.0219465 | 0.0141188 | 0.0331496 | -0.0043538 | 0.0016393 | -0.0181771 | 0.0056213 | -0.0049875 | -0.0016893 | -0.0036216 | 0.0099226 | 0.0277385 | 0.0313109 | 0.0130156 | -0.0197138 | -0.0195824 | -0.0179407 | 0.0158787 | 0.0002900 | -0.0066818 | -0.0239954 | 0.0139743 | 0.0115183 | 0.0184661 | 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0.0026547 | 0.0121290 | -0.0412400 | 0.0010844 | -0.0002924 | -0.0056147 | -0.0135409 | -0.0173366 | -0.0097387 | 0.0081626 | -0.0164435 | 0.0126741 | -0.0097912 | -0.0068690 | 0.0193066 | -0.0343054 | -0.0260180 | -0.0029732 | 0.0146179 | -0.0194248 | 0.0163647 | -0.0269505 |
dataset - The embeddings dataset with only numerical
columns.dim(dataset)## [1] 297 1536
The dimension of dataset is 297 rows and 1536 columns
(only numerical).
Here we are displaying dataset with the first 10 rows
and 1536 columns.
Table(dataset[1:10,],scroll = T)| E1 | E2 | E3 | E4 | E5 | E6 | E7 | E8 | E9 | E10 | E11 | E12 | E13 | E14 | E15 | E16 | E17 | E18 | E19 | E20 | E21 | E22 | E23 | E24 | E25 | E26 | E27 | E28 | E29 | E30 | E31 | E32 | E33 | E34 | E35 | E36 | E37 | E38 | E39 | E40 | E41 | E42 | E43 | E44 | E45 | E46 | E47 | E48 | E49 | E50 | E51 | E52 | E53 | E54 | E55 | E56 | E57 | E58 | E59 | E60 | E61 | E62 | E63 | E64 | E65 | E66 | E67 | E68 | E69 | E70 | E71 | E72 | E73 | E74 | E75 | E76 | E77 | E78 | E79 | E80 | E81 | E82 | E83 | E84 | E85 | E86 | E87 | E88 | E89 | E90 | E91 | E92 | E93 | E94 | E95 | E96 | E97 | E98 | E99 | E100 | E101 | E102 | E103 | E104 | E105 | E106 | E107 | E108 | E109 | E110 | E111 | E112 | E113 | E114 | E115 | E116 | E117 | E118 | E119 | E120 | E121 | E122 | E123 | E124 | E125 | E126 | E127 | E128 | E129 | E130 | E131 | E132 | E133 | E134 | E135 | E136 | E137 | E138 | E139 | E140 | E141 | E142 | E143 | E144 | E145 | E146 | E147 | E148 | E149 | E150 | E151 | E152 | E153 | E154 | E155 | E156 | E157 | E158 | E159 | E160 | E161 | E162 | E163 | E164 | E165 | E166 | E167 | E168 | E169 | E170 | E171 | E172 | E173 | E174 | E175 | E176 | E177 | E178 | E179 | E180 | E181 | E182 | E183 | E184 | E185 | E186 | E187 | E188 | E189 | E190 | E191 | E192 | E193 | E194 | E195 | E196 | E197 | E198 | E199 | E200 | E201 | E202 | E203 | E204 | E205 | E206 | E207 | E208 | E209 | E210 | E211 | E212 | E213 | E214 | E215 | E216 | E217 | E218 | E219 | E220 | E221 | E222 | E223 | E224 | E225 | E226 | E227 | E228 | E229 | E230 | E231 | E232 | E233 | E234 | E235 | E236 | E237 | E238 | E239 | E240 | E241 | E242 | E243 | E244 | E245 | E246 | E247 | E248 | E249 | E250 | E251 | E252 | E253 | E254 | E255 | E256 | E257 | E258 | E259 | E260 | E261 | E262 | E263 | E264 | E265 | E266 | E267 | E268 | E269 | E270 | E271 | E272 | E273 | E274 | E275 | E276 | E277 | E278 | E279 | E280 | E281 | E282 | E283 | E284 | E285 | E286 | E287 | E288 | E289 | E290 | E291 | E292 | E293 | E294 | E295 | E296 | E297 | E298 | E299 | E300 | E301 | E302 | E303 | E304 | E305 | E306 | E307 | E308 | E309 | E310 | E311 | E312 | E313 | E314 | E315 | E316 | E317 | E318 | E319 | E320 | E321 | E322 | E323 | E324 | E325 | E326 | E327 | E328 | E329 | E330 | E331 | E332 | E333 | E334 | E335 | E336 | E337 | E338 | E339 | E340 | E341 | E342 | E343 | E344 | E345 | E346 | E347 | E348 | E349 | E350 | E351 | E352 | E353 | E354 | E355 | E356 | E357 | E358 | E359 | E360 | E361 | E362 | E363 | E364 | E365 | E366 | E367 | E368 | E369 | E370 | E371 | E372 | E373 | E374 | E375 | E376 | E377 | E378 | E379 | E380 | E381 | E382 | E383 | E384 | E385 | E386 | E387 | E388 | E389 | E390 | E391 | E392 | E393 | E394 | E395 | E396 | E397 | E398 | E399 | E400 | E401 | E402 | E403 | E404 | E405 | E406 | E407 | E408 | E409 | E410 | E411 | E412 | E413 | E414 | E415 | E416 | E417 | E418 | E419 | E420 | E421 | E422 | E423 | E424 | E425 | E426 | E427 | E428 | E429 | E430 | E431 | E432 | E433 | E434 | E435 | E436 | E437 | E438 | E439 | E440 | E441 | E442 | E443 | E444 | E445 | E446 | E447 | E448 | E449 | E450 | E451 | E452 | E453 | E454 | E455 | E456 | E457 | E458 | E459 | E460 | E461 | E462 | E463 | E464 | E465 | E466 | E467 | E468 | E469 | E470 | E471 | E472 | E473 | E474 | E475 | E476 | E477 | E478 | E479 | E480 | E481 | E482 | E483 | E484 | E485 | E486 | E487 | E488 | E489 | E490 | E491 | E492 | E493 | E494 | E495 | E496 | E497 | E498 | E499 | E500 | E501 | E502 | E503 | E504 | E505 | E506 | E507 | E508 | E509 | E510 | E511 | E512 | E513 | E514 | E515 | E516 | E517 | E518 | E519 | E520 | E521 | E522 | E523 | E524 | E525 | E526 | E527 | E528 | E529 | E530 | E531 | E532 | E533 | E534 | E535 | E536 | E537 | E538 | E539 | E540 | E541 | E542 | E543 | E544 | E545 | E546 | E547 | E548 | E549 | E550 | E551 | E552 | E553 | E554 | E555 | E556 | E557 | E558 | E559 | E560 | E561 | E562 | E563 | E564 | E565 | E566 | E567 | E568 | E569 | E570 | E571 | E572 | E573 | E574 | E575 | E576 | E577 | E578 | E579 | E580 | E581 | E582 | E583 | E584 | E585 | E586 | E587 | E588 | E589 | E590 | E591 | E592 | E593 | E594 | E595 | E596 | E597 | E598 | E599 | E600 | E601 | E602 | E603 | E604 | E605 | E606 | E607 | E608 | E609 | E610 | E611 | E612 | E613 | E614 | E615 | E616 | E617 | E618 | E619 | E620 | E621 | E622 | E623 | E624 | E625 | E626 | E627 | E628 | E629 | E630 | E631 | E632 | E633 | E634 | E635 | E636 | E637 | E638 | E639 | E640 | E641 | E642 | E643 | E644 | E645 | E646 | E647 | E648 | E649 | E650 | E651 | E652 | E653 | E654 | E655 | E656 | E657 | E658 | E659 | E660 | E661 | E662 | E663 | E664 | E665 | E666 | E667 | E668 | E669 | E670 | E671 | E672 | E673 | E674 | E675 | E676 | E677 | E678 | E679 | E680 | E681 | E682 | E683 | E684 | E685 | E686 | E687 | E688 | E689 | E690 | E691 | E692 | E693 | E694 | E695 | E696 | E697 | E698 | E699 | E700 | E701 | E702 | E703 | E704 | E705 | E706 | E707 | E708 | E709 | E710 | E711 | E712 | E713 | E714 | E715 | E716 | E717 | E718 | E719 | E720 | E721 | E722 | E723 | E724 | E725 | E726 | E727 | E728 | E729 | E730 | E731 | E732 | E733 | E734 | E735 | E736 | E737 | E738 | E739 | E740 | E741 | E742 | E743 | E744 | E745 | E746 | E747 | E748 | E749 | E750 | E751 | E752 | E753 | E754 | E755 | E756 | E757 | E758 | E759 | E760 | E761 | E762 | E763 | E764 | E765 | E766 | E767 | E768 | E769 | E770 | E771 | E772 | E773 | E774 | E775 | E776 | E777 | E778 | E779 | E780 | E781 | E782 | E783 | E784 | E785 | E786 | E787 | E788 | E789 | E790 | E791 | E792 | E793 | E794 | E795 | E796 | E797 | E798 | E799 | E800 | E801 | E802 | E803 | E804 | E805 | E806 | E807 | E808 | E809 | E810 | E811 | E812 | E813 | E814 | E815 | E816 | E817 | E818 | E819 | E820 | E821 | E822 | E823 | E824 | E825 | E826 | E827 | E828 | E829 | E830 | E831 | E832 | E833 | E834 | E835 | E836 | E837 | E838 | E839 | E840 | E841 | E842 | E843 | E844 | E845 | E846 | E847 | E848 | E849 | E850 | E851 | E852 | E853 | E854 | E855 | E856 | E857 | E858 | E859 | E860 | E861 | E862 | E863 | E864 | E865 | E866 | E867 | E868 | E869 | E870 | E871 | E872 | E873 | E874 | E875 | E876 | E877 | E878 | E879 | E880 | E881 | E882 | E883 | E884 | E885 | E886 | E887 | E888 | E889 | E890 | E891 | E892 | E893 | E894 | E895 | E896 | E897 | E898 | E899 | E900 | E901 | E902 | E903 | E904 | E905 | E906 | E907 | E908 | E909 | E910 | E911 | E912 | E913 | E914 | E915 | E916 | E917 | E918 | E919 | E920 | E921 | E922 | E923 | E924 | E925 | E926 | E927 | E928 | E929 | E930 | E931 | E932 | E933 | E934 | E935 | E936 | E937 | E938 | E939 | E940 | E941 | E942 | E943 | E944 | E945 | E946 | E947 | E948 | E949 | E950 | E951 | E952 | E953 | E954 | E955 | E956 | E957 | E958 | E959 | E960 | E961 | E962 | E963 | E964 | E965 | E966 | E967 | E968 | E969 | E970 | E971 | E972 | E973 | E974 | E975 | E976 | E977 | E978 | E979 | E980 | E981 | E982 | E983 | E984 | E985 | E986 | E987 | E988 | E989 | E990 | E991 | E992 | E993 | E994 | E995 | E996 | E997 | E998 | E999 | E1000 | E1001 | E1002 | E1003 | E1004 | E1005 | E1006 | E1007 | E1008 | E1009 | E1010 | E1011 | E1012 | E1013 | E1014 | E1015 | E1016 | E1017 | E1018 | E1019 | E1020 | E1021 | E1022 | E1023 | E1024 | E1025 | E1026 | E1027 | E1028 | E1029 | E1030 | E1031 | E1032 | E1033 | E1034 | E1035 | E1036 | E1037 | E1038 | E1039 | E1040 | E1041 | E1042 | E1043 | E1044 | E1045 | E1046 | E1047 | E1048 | E1049 | E1050 | E1051 | E1052 | E1053 | E1054 | E1055 | E1056 | E1057 | E1058 | E1059 | E1060 | E1061 | E1062 | E1063 | E1064 | E1065 | E1066 | E1067 | E1068 | E1069 | E1070 | E1071 | E1072 | E1073 | E1074 | E1075 | E1076 | E1077 | E1078 | E1079 | E1080 | E1081 | E1082 | E1083 | E1084 | E1085 | E1086 | E1087 | E1088 | E1089 | E1090 | E1091 | E1092 | E1093 | E1094 | E1095 | E1096 | E1097 | E1098 | E1099 | E1100 | E1101 | E1102 | E1103 | E1104 | E1105 | E1106 | E1107 | E1108 | E1109 | E1110 | E1111 | E1112 | E1113 | E1114 | E1115 | E1116 | E1117 | E1118 | E1119 | E1120 | E1121 | E1122 | E1123 | E1124 | E1125 | E1126 | E1127 | E1128 | E1129 | E1130 | E1131 | E1132 | E1133 | E1134 | E1135 | E1136 | E1137 | E1138 | E1139 | E1140 | E1141 | E1142 | E1143 | E1144 | E1145 | E1146 | E1147 | E1148 | E1149 | E1150 | E1151 | E1152 | E1153 | E1154 | E1155 | E1156 | E1157 | E1158 | E1159 | E1160 | E1161 | E1162 | E1163 | E1164 | E1165 | E1166 | E1167 | E1168 | E1169 | E1170 | E1171 | E1172 | E1173 | E1174 | E1175 | E1176 | E1177 | E1178 | E1179 | E1180 | E1181 | E1182 | E1183 | E1184 | E1185 | E1186 | E1187 | E1188 | E1189 | E1190 | E1191 | E1192 | E1193 | E1194 | E1195 | E1196 | E1197 | E1198 | E1199 | E1200 | E1201 | E1202 | E1203 | E1204 | E1205 | E1206 | E1207 | E1208 | E1209 | E1210 | E1211 | E1212 | E1213 | E1214 | E1215 | E1216 | E1217 | E1218 | E1219 | E1220 | E1221 | E1222 | E1223 | E1224 | E1225 | E1226 | E1227 | E1228 | E1229 | E1230 | E1231 | E1232 | E1233 | E1234 | E1235 | E1236 | E1237 | E1238 | E1239 | E1240 | E1241 | E1242 | E1243 | E1244 | E1245 | E1246 | E1247 | E1248 | E1249 | E1250 | E1251 | E1252 | E1253 | E1254 | E1255 | E1256 | E1257 | E1258 | E1259 | E1260 | E1261 | E1262 | E1263 | E1264 | E1265 | E1266 | E1267 | E1268 | E1269 | E1270 | E1271 | E1272 | E1273 | E1274 | E1275 | E1276 | E1277 | E1278 | E1279 | E1280 | E1281 | E1282 | E1283 | E1284 | E1285 | E1286 | E1287 | E1288 | E1289 | E1290 | E1291 | E1292 | E1293 | E1294 | E1295 | E1296 | E1297 | E1298 | E1299 | E1300 | E1301 | E1302 | E1303 | E1304 | E1305 | E1306 | E1307 | E1308 | E1309 | E1310 | E1311 | E1312 | E1313 | E1314 | E1315 | E1316 | E1317 | E1318 | E1319 | E1320 | E1321 | E1322 | E1323 | E1324 | E1325 | E1326 | E1327 | E1328 | E1329 | E1330 | E1331 | E1332 | E1333 | E1334 | E1335 | E1336 | E1337 | E1338 | E1339 | E1340 | E1341 | E1342 | E1343 | E1344 | E1345 | E1346 | E1347 | E1348 | E1349 | E1350 | E1351 | E1352 | E1353 | E1354 | E1355 | E1356 | E1357 | E1358 | E1359 | E1360 | E1361 | E1362 | E1363 | E1364 | E1365 | E1366 | E1367 | E1368 | E1369 | E1370 | E1371 | E1372 | E1373 | E1374 | E1375 | E1376 | E1377 | E1378 | E1379 | E1380 | E1381 | E1382 | E1383 | E1384 | E1385 | E1386 | E1387 | E1388 | E1389 | E1390 | E1391 | E1392 | E1393 | E1394 | E1395 | E1396 | E1397 | E1398 | E1399 | E1400 | E1401 | E1402 | E1403 | E1404 | E1405 | E1406 | E1407 | E1408 | E1409 | E1410 | E1411 | E1412 | E1413 | E1414 | E1415 | E1416 | E1417 | E1418 | E1419 | E1420 | E1421 | E1422 | E1423 | E1424 | E1425 | E1426 | E1427 | E1428 | E1429 | E1430 | E1431 | E1432 | E1433 | E1434 | E1435 | E1436 | E1437 | E1438 | E1439 | E1440 | E1441 | E1442 | E1443 | E1444 | E1445 | E1446 | E1447 | E1448 | E1449 | E1450 | E1451 | E1452 | E1453 | E1454 | E1455 | E1456 | E1457 | E1458 | E1459 | E1460 | E1461 | E1462 | E1463 | E1464 | E1465 | E1466 | E1467 | E1468 | E1469 | E1470 | E1471 | E1472 | E1473 | E1474 | E1475 | E1476 | E1477 | E1478 | E1479 | E1480 | E1481 | E1482 | E1483 | E1484 | E1485 | E1486 | E1487 | E1488 | E1489 | E1490 | E1491 | E1492 | E1493 | E1494 | E1495 | E1496 | E1497 | E1498 | E1499 | E1500 | E1501 | E1502 | E1503 | E1504 | E1505 | E1506 | E1507 | E1508 | E1509 | E1510 | E1511 | E1512 | E1513 | E1514 | E1515 | E1516 | E1517 | E1518 | E1519 | E1520 | E1521 | E1522 | E1523 | E1524 | E1525 | E1526 | E1527 | E1528 | E1529 | E1530 | E1531 | E1532 | E1533 | E1534 | E1535 | E1536 |
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| 0.0186696 | -0.0240860 | -0.0087460 | -0.0441946 | 0.0064009 | 0.0023337 | -0.0188658 | -0.0185518 | -0.0161314 | -0.0182640 | -0.0091909 | 0.0166809 | -0.0095964 | -0.0345655 | 0.0267287 | 0.0068490 | 0.0134887 | -0.0256036 | 0.0082358 | -0.0037941 | 0.0112122 | 0.0089554 | -0.0082096 | -0.0285734 | 0.0034441 | 0.0260615 | -0.0025806 | -0.0138811 | 0.0136718 | 0.0178846 | 0.0014768 | -0.0098254 | 0.0010507 | -0.0151895 | -0.0070322 | -0.0037319 | 0.0125532 | 0.0036077 | 0.0118533 | 0.0150979 | 0.0181724 | 0.0043469 | -0.0099301 | -0.0063191 | -0.0293061 | -0.0090731 | -0.0167333 | 0.0173743 | 0.0049225 | -0.0076274 | -0.0063682 | 0.0135933 | 0.0011987 | -0.0150979 | -0.0180023 | -0.0002623 | 0.0090666 | -0.0072742 | -0.0017188 | -0.0160006 | 0.0096422 | -0.0260615 | -0.0209198 | 0.0059332 | -0.0212338 | 0.0037941 | -0.0079414 | 0.0244523 | -0.0023893 | -0.0033051 | 0.0201479 | 0.0073658 | 0.0280501 | -0.0000513 | 0.0226206 | 0.0197947 | 0.0106823 | -0.0022715 | 0.0116570 | 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0.0192672 | -0.0038055 | -0.0078474 | 0.0140531 | -0.0255846 | -0.0073615 | -0.0205806 | -0.0157868 | 0.0140925 | 0.0080444 | -0.0077227 | -0.0287892 | 0.0138561 | 0.0036315 | 0.0162727 | 0.0110455 | -0.0097781 | 0.0023411 | -0.0114723 | 0.0091477 | -0.0121684 | -0.0271606 | 0.0105924 | -0.0356976 | -0.0385082 | 0.0149725 | 0.0193854 | -0.0440769 | -0.0035954 | 0.0215788 | -0.0012855 | -0.0215656 | -0.0213292 | -0.0171002 | -0.0148806 | -0.0194117 | -0.0006009 | -0.0069478 | -0.0059036 | -0.0138693 | 0.0090820 | 0.0163515 | 0.0144209 | 0.0297348 | 0.0047446 | -0.0289468 | -0.0102443 | -0.0291832 | 0.0072170 | 0.0024429 | -0.0073418 | -0.0397428 | 0.0310219 | 0.0034181 | 0.0219465 | 0.0141188 | 0.0331496 | -0.0043538 | 0.0016393 | -0.0181771 | 0.0056213 | -0.0049875 | -0.0016893 | -0.0036216 | 0.0099226 | 0.0277385 | 0.0313109 | 0.0130156 | -0.0197138 | -0.0195824 | -0.0179407 | 0.0158787 | 0.0002900 | -0.0066818 | -0.0239954 | 0.0139743 | 0.0115183 | 0.0184661 | -0.0134358 | 0.0116234 | -0.0275809 | 0.0034804 | -0.0325192 | -0.0017254 | -0.0016417 | 0.0123063 | 0.0161677 | 0.0314422 | 0.0090492 | 0.0114789 | 0.0177306 | 0.0312058 | 0.0151170 | 0.0192804 | -0.0186893 | -0.0213424 | -0.0086814 | 0.0126806 | -0.0123195 | -0.0252037 | 0.0034509 | 0.0063797 | 0.0174679 | -0.0196612 | -0.0137379 | 0.0162727 | -0.0041930 | -0.0077161 | 0.0001036 | -0.0133570 | -0.0067311 | 0.0120634 | 0.0188469 | -0.0254007 | 0.0110718 | 0.0128777 | 0.0049744 | 0.0146573 | 0.0318625 | -0.0128448 | -0.0014135 | -0.0096270 | -0.0067573 | -0.0069675 | -0.0058018 | -0.0248753 | 0.0242187 | -0.0077752 | -0.0010343 | 0.0100342 | -0.0467562 | 0.0678753 | 0.0214343 | 0.0031160 | 0.0212242 | -0.0089572 | 0.0112622 | -0.0016573 | 0.0109076 | -0.0187813 | 0.0279224 | 0.0190308 | 0.0020029 | -0.0004264 | -0.0348833 | -0.0085501 | -0.0202654 | -0.0060514 | 0.0219597 | -0.0333598 | -0.0122275 | 0.0229578 | -0.0113607 | 0.0225901 | 0.0158525 | -0.0149068 | -0.0371160 | 0.0127660 | 0.0026547 | 0.0121290 | -0.0412400 | 0.0010844 | -0.0002924 | -0.0056147 | -0.0135409 | -0.0173366 | -0.0097387 | 0.0081626 | -0.0164435 | 0.0126741 | -0.0097912 | -0.0068690 | 0.0193066 | -0.0343054 | -0.0260180 | -0.0029732 | 0.0146179 | -0.0194248 | 0.0163647 | -0.0269505 |
This section displays four objects.
Variable Histograms: The histogram distribution of all the features in the dataset.
Box Plots: Box plots for all the features in the dataset. These plots will display the median and Interquartile range of each column at a panel level.
Correlation Matrix: This calculates the Pearson correlation which is a bivariate correlation value measuring the linear correlation between two numeric columns. The output plot is shown as a matrix.
Summary EDA: The table provides descriptive statistics for all the features in the dataset.
It uses an inbuilt function called edaPlots to display
the above-mentioned four objects.
NOTE: Here we have used the dataset object which has
297 rows and 1536 numerical columns. The input dataset should be a data
frame object and the columns should be only numeric type. For demo
purposes, we are plotting the EDA plots only for the first 10 columns
except for the summary table which will be displayed for all
columns.
edaPlots(dataset, output_type = "histogram", n_cols = 10)edaPlots(dataset, output_type = "boxplot", n_cols = 10)edaPlots(dataset, output_type = "correlation",n_cols = 10)edaPlots(dataset, output_type = "summary", n_cols = 1536)The core function for compression in the workflow is hvq
(hierarchical vector quantization), which is called within the
trainHVT function. We have a parameter called ‘quantization
error’. This parameter acts as a threshold and determines the number of
levels in the hierarchy. It means that, if there are ‘n’ number of
levels in the hierarchy, then all the clusters formed till this level
will have quantization error equal to or less than the threshold
quantization error. The user can define the number of clusters in the
first level of the hierarchy, and then each cluster in the upcoming
levels is subdivided into the same number of clusters. This process
continues for all the clusters until the threshold quantization error is
met. The output of this technique will be hierarchically arranged vector
quantized data.
trainHVT() and its parameterstrainHVT(
dataset,min_compression_perc,n_cells,
depth,quant.err,normalize,distance_metric,
dim_reduction_method,error_metric,quant_method,
scale_summary, diagnose, hvt_validation,
train_validation_split_ratio
)Each of the parameters of trainHVT function has been
explained below:
dataset - A data frame, with
numeric columns (features) that will be used for training the
model.
min_compression_perc - An integer,
indicating the minimum compression percentage to be achieved for the
dataset. It indicates the desired level of reduction in dataset size
compared to its original size. This parameter need not be called if
n_cells are specified.
n_cells - An integer, indicating
the number of cells per hierarchy (level). This parameter determines the
granularity or level of detail in the hierarchical vector
quantization.
depth - An integer, indicating the
number of levels. A depth of 1 means no hierarchy (single level), while
higher values indicate multiple levels (hierarchy).
quant.err - A number indicating the
quantization error threshold. A cell will only break down into further
cells if the quantization error of the cell is above the defined
quantization error threshold.
normalize - A logical value
indicating if the dataset should be normalized. When set to TRUE, scales
the values of all features to have a mean of 0 and a standard deviation
of 1 (Z-score). If FALSE, the dataset is used without scaling.
distance_metric - The distance
metric can be L1_Norm(Manhattan) or
L2_Norm(Euclidean). L1_Norm is selected by
default. The distance metric is used to calculate the distance between a
clustered datapoint point and a centroid.
error_metric - The error metric can
be mean or max. max is selected
by default. max will return the max of m
values and mean will take the mean of m values
where each value is a distance between a point and centroid.
dim_reduction_method - The
dimensionality reduction method to be chosen. options are ‘t-sne’ ,
‘umap’ & ‘sammon’. Default is ‘sammon’.
quant_method - The quantization
method can be kmeans or kmedoids. Kmeans uses
means (centroids) as cluster centers, while Kmedoids uses actual data
points (medoids) as cluster centers. kmeans is selected by
default.
scale_summary - A list with
user-defined mean and standard deviation values for all the features in
the dataset. Pass the scale summary when normalize is set to
FALSE.
diagnose - A logical value
indicating whether the user wants to perform diagnostics on the model.
Default value is FALSE.
hvt_validation - A logical value
indicating whether the user wants to hold out a validation set and find
the Mean Absolute Deviation of the validation points from the centroid.
Default value is FALSE.
train_validation_split_ratio - A
numeric value indicating train validation split ratio. This argument is
only used when hvt_validation has been set to TRUE. Default
value for the argument is 0.8
The output of the trainHVT function (list of 7 elements) has been explained below, with an image attached for clear understanding.
NOTE: Here the attached ‘Figure:2’ is the example snapshot of the output list generated from trainHVT()
Figure 2: The Output list generated by trainHVT function.
The ‘1st element’ is a list containing information related to plotting tessellations. This information includes coordinates, boundaries, and other details necessary for visualizing the tessellations.
The ‘2nd element’ is a list containing information related to Sammon’s projection coordinates of the data points in the reduced-dimensional space.
The ‘3rd element’ is a list containing detailed information about the hierarchical vector quantized data along with a summary section containing no. of points, quantization error and the centroids for each cell in 2D.
The ‘4th element’ is a list that contains all the diagnostic
plots of the model when diagnose is set to TRUE. Otherwise
NA.
The ‘5th element’ is a list that contains all the information required to generate a Mean Absolute Deviation (MAD) plot, if hvt_validation is set to TRUE. Otherwise NA.
The ‘6th element’ is a list containing detailed information about
the hierarchical vector quantized data along with a summary section
containing no. of points, quantization error and the centroids for each
cell in 1D, which is the output of hvq.
The ‘7th element’ (model info) is a list that contains model generated time, input parameters passed to the model, validation results and the dimensionality reduction metrics table.
We will use the trainHVT function to compress our data
while preserving essential features of the dataset. Our goal is to
achieve data compression to at least 80%. In situations
where the compression ratio does not meet the desired target, we can
explore adjusting the model parameters as a potential solution. This
involves making modifications to parameters such as the quantization
error threshold or increasing the number of cells, and then rerunning
the trainHVT function.
distance_metricFigure 3: Pictorial representation of Euclidean and Manhattan distance. img source
Euclidean Distance: The Euclidean distance is the root of the squared sum of the differences between the coordinates of two points. It is the geometric straight-line distance between points in a continuous vector space, as denoted by the red line in the above ‘Figure:3’. Euclidean distance is well-suited for applications where the data distribution exhibits spherical or ellipsoidal patterns, as it accurately models the physical distance in these domains.
Manhattan Distance: The Manhattan distance, is the sum of the absolute differences between the coordinates of two points. It measures the distance between points along each dimension or axis, as denoted by the blue and green lines in the above ‘Figure:3’. The Manhattan distance is particularly useful when the underlying space is constrained to a grid-like structure, as it models the distance traveled along the axes rather than the straight-line path.
Distance Metric Selection:
The choice of distance metric depends on the underlying structure of the dataset and the specific application requirements.
In high-dimensional spaces, such as those encountered in natural language processing tasks involving LLM token embeddings, the Manhattan distance is often preferred over the Euclidean distance. This preference arises due to the “curse of dimensionality,” where the Euclidean distance becomes increasingly concentrated/lower, leading to a loss of meaning as the dimensionality increases. The Manhattan distance, by summing the absolute differences along each dimension, retains its ability to capture dissimilarities between points in high-dimensional spaces.
Additionally, the grid-like structure inherent in high-dimensional data aligns well with the Manhattan distance’s component-wise calculation approach. This structural alignment allows the Manhattan distance to effectively capture the differences between data points based on their individual feature values or dimensions, which is particularly beneficial in applications like text analysis or document similarity.
In low-dimensional spaces and applications where the data distribution is continuous, the Euclidean distance is often preferred. Its geometric interpretation as the straight-line distance between points aligns well with physical spaces and continuous data distributions, making it a natural choice in domains such as spatial data analysis and clustering algorithms where the underlying relationships between data points are better represented by the Euclidean metric.
In summary, the selection of the appropriate distance metric is contingent upon the dimensionality of the data, the underlying data distribution and the geometric constraints of the problem domain.
error_metricThe error metric can be mean or max. For a
specified number of cells, each cell will contain n data
points. The centroid of each cell is computed as the mean of these
n points. For each data point, the distance to the centroid
is calculated using a chosen distance metric, resulting in
n distances. The error metric for the cell is then
determined based on these distances.
mean: If the mean is used as the input, the
error metric or quantization error for the cell is the mean of the
n distances.
max: If the max is used as the input, the
error metric or quantization error for the cell is the maximum value of
the n distances.
trainHVT()Input Parameters
dataset (The processed dataset with 297 rows
and 1536 columns)hvt.results <- trainHVT(dataset, n_cells = 110, depth = 1, quant.err = 0.6,
distance_metric = "L1_Norm", error_metric = "mean",
normalize = TRUE, quant_method="kmeans", dim_reduction_method = "sammon")Let’s look at the summary table.
displayTable(data = hvt.results[[3]]$compression_summary,
columnName = 'percentOfCellsBelowQuantizationErrorThreshold',
value = 0.8, tableType = "compression", scroll = T)| segmentLevel | noOfCells | noOfCellsBelowQuantizationError | percentOfCellsBelowQuantizationErrorThreshold | parameters |
|---|---|---|---|---|
| 1 | 110 | 93 | 0.85 | n_cells: 110 quant.err: 0.6 distance_metric: L1_Norm error_metric: mean quant_method: kmeans |
NOTE: Based on the above table, the value of ‘percentOfCellsBelowQuantizationErrorThreshold’ indicates that 85% of compression has taken place for the specified number of cells (110) and the quantization error (0.6)
Lets look at the dimensionality reduction evaluation metrics.
displayTable(data= hvt.results$model_info$distance_measures, tableType = 'metrics')| L1_Metrics | L2_Metrics | Value |
|---|---|---|
| Structure Preservation Metrics | Trustworthiness | 0.7246168 |
| Continuity | 0.8510339 | |
| Sammon’s Stress | 0.0357015 | |
| Distance Preservation Metrics | RMSE | 369.5848619 |
| Interpretive Quality Metrics | Silhouette Score | 0.3566109 |
| KNN Retention Score | 0.1829545 | |
| Computational Efficiency Metrics | Execution Duration(sec) | 0.1062000 |
According to the values above we can conclude that the model has achieved a good balance between preserving the local neighborhood relationships, global structure, and pairwise distances in the low-dimensional embedding, with moderate reconstruction accuracy and cluster separation.
This section focuses on projecting the plots that used Sammon’s dimensionality reduction algorithm to compress the dataset from higher to lower dimensions.
plotHVT() and its parametersplotHVT <-(hvt.results, line.width, color.vec, pch1, centroid.size ,
title, maxDepth, child.level, hmap.cols, cell_id,
quant.error.hmap, n_cells.hmap,
label.size , sepration_width, layer_opacity,
dim_size, plot.type) hvt.results -
(1D/2Dproj/2Dhvt/2Dheatmap/surface_plot) A list obtained from the
trainHVT function. This list provides an overview of the hierarchical
vector quantized data, including diagnostics, tessellation details,
Sammon’s projection coordinates, and model input information.
line.width - (2Dhvt/2Dheatmap) A
vector indicating the line widths of the tessellation boundaries for
each layer.
color.vec - (2Dhvt/2Dheatmap) A
vector indicating the colors of the tessellation boundaries at each
layer.
pch1 - (2Dhvt/2Dheatmap) Symbol. It
plots the centroids with a particular symbol such as (solid circle,
bullet, filled square, filled diamond) in the tessellations. Default is
21 (a filled circle).
centroid.size - (2Dhvt/2Dheatmap)
Size of centroids for each level of tessellations. Default is
1.5
title - (2Dhvt) Set a title for the
plot. Default is NULL.
maxDepth - (2Dhvt) An integer
indicating the number of levels.
cell_id - (2Dhvt/2Dheatmap)
Logical. To indicate whether the plot should have Cell IDs or not, for
level 1. Default is FALSE.
child.level -
(2Dheatmap/surface_plot) A Number indicating the level for which the
heat map is to be plotted. Default is 1
hmap.cols -
(2Dheatmap/surface_plot) A Character for which the heat map is to be
plotted. Accepted entries (‘Segment.Level’, ‘Segment.Parent’,
‘Segment.Child’, ‘n’, ‘Quant.Error’, ‘Cell.ID’ and the column names of
dataset)
label.size - (2Dheatmap) The size
by which the tessellation labels should be scaled. Default is
0.5
quant.error.hmap - (2Dheatmap) A
number indicating the quantization error threshold.
n_cells.hmap - (2Dheatmap) An
integer indicating the number of cells/clusters per hierarchy
sepration_width - (surface_plot) An
integer indicating the width between two levels.
layer_opacity - (surface_plot) A
vector indicating the opacity of each layer/level.
dim_size - (surface_plot) An
integer indicating the dimension size used to create the matrix for the
plot.
plot.type - A Character indicating
which type of plot should be generated. Accepted entries are ‘1D’,
‘2Dproj’, ‘2Dhvt’, ‘2Dheatmap’ & ‘surface_plot’. Default value is
‘2Dhvt’.
plotHVT()Input parameters
trainHVT() resultsplotHVT(hvt.results,plot.type = '1D')Input parameters
trainHVT() resultsplotHVT(hvt.results, plot.type = '2Dproj')Input parameters
trainHVT() resultsplotHVT(hvt.results, plot.type = '2Dhvt', cell_id = TRUE)Input parameters
trainHVT() resultsplotHVT(hvt.results, hmap.cols = "n", plot.type = '2Dheatmap', cell_id = TRUE)NOTE: We have 1536 columns displaying all of them will blow up the notebook hence we are displaying the Heatmaps for only the first 50 columns
The Function for generating Heatmaps for each column of a dataset from section 3.2 is used to generate the below Heatmaps.
Input parameters
dataset with 297 rows and 1536 numerical
columnstrainHVT() resultsno_of_cols <- 1:17
plot_columns(dataset, no_of_cols, hvt.results)Input parameters
dataset with 297 rows and 1536 numerical
columnstrainHVT() resultsno_of_cols <- 18:34
plot_columns(dataset, no_of_cols, hvt.results)Input parameters
dataset with 297 rows and 1536 numerical
columnstrainHVT() resultsno_of_cols <- 35:50
plot_columns(dataset, no_of_cols, hvt.results)Input parameters
trainHVT() resultsplotHVT(hvt.results, hmap.cols = "n", plot.type = 'surface_plot')Once the model is built, the next step is to score each data point in
the dataset, assigning it to a specific cell within the model using the
scoreHVT function. This section of the vignette will
elucidate how the dataset and the results from model training are
utilized to determine the cell assignment of each data point of scoring
dataset, identify anomalies, and calculate quantization errors.
Moreover, we will delve into the visualization plots that offer a comprehensive view of the contents within each cell, including the number of data points and their distribution. These insights are crucial for understanding the model’s structure and evaluating its performance in capturing the underlying patterns of the high-dimensional LLM token embeddings.
scoreHVT() and its parametersscoreHVT(dataset, hvt.results.model, child.level, mad.threshold, line.width,
color.vec, normalize, yVar, distance_metric, error_metric,
analysis.plots, names.column)The parameters are explained below:
dataset - A data frame, with
numeric columns (features) that will be used for scoring the model. The
columns of dataset should remain the same as used in trainHVT.
hvt.results.model - A list obtained
from the trainHVT function while performing hierarchical
vector quantization on data.
child.level - A number indicating
the depth for which the heat map is to be plotted. Each depth represents
a different level of clustering or partitioning of the data.
mad.threshold - A numeric value
indicating the permissible Mean Absolute Deviation which is obtained
from Minimum Intra centroid plot(when diagnose is set to
TRUE in trainHVT). Default value is 0.2
line.width - A vector indicating
the line widths of the tessellation boundaries for each layer. (Optional
Parameter)
color.vec - A vector indicating the
colors of the tessellations boundaries at each layer. (Optional
Parameter)
normalize - A logical value
indicating if the dataset should be normalized. Default is
TRUE.
yVar - A character or a vector
representing the name of the dependent variable(s)
distance_metric - The distance
metric can be L1_Norm(Manhattan) or
L2_Norm(Euclidean). The metric is used when calculating the
distance between each data point with the centroids obtained from
results of trainHVT. Default is
L1_Norm.
error_metric - The error metric can
be mean or max. max will return
the max of m values and mean will take mean of
m values where each value is a distance between the
datapoint and centroid of the cell. This helps in calculating the scored
quantization error. Default value is max.
analysis.plots - A logical value to
indicate whether to include the domain plots which are useful in viewing
the contents and clusters of cells. Default is FALSE.
names.column - The column of names
of the datapoints which will be displayed as the contents of the cell in
‘scoredPlotly’. Default is NULL.
scoreHVT()Input Parameters
dataset_raw = The uploaded raw dataset with 297 rows
and 1538 columns (1536 numerical + 2 categorical) (Only the numerical
columns get scored the categorical columns works as Identifier variables
in scored plot)
hvt.results = trainHVT() results
mad.threshold = 0.7 (mad.threshold value can be
obtained from Minimum Intra centroid plot from the results of
trainHVT() and it is important since it is used in anomaly
detection. For a given datapoint, when the quantization error is above
mad.threshold value it is denoted as an anomaly else not.
Such Anomaly can be seen if the mad.threshold is set below
0.7 in this section.)
normalize = T (normalize When set to TRUE, the
dataset is Z-score standardized. When set to FALSE, the
data is used as such without any changes.)
analysis.plots = TRUE (To include the scoredPlotly which will be seen later in this vignette)
names.column = dataset_raw[,1] (The column of names/representations of the corresponding row’s embedding i.e., tweets)
scoring <- scoreHVT(dataset_raw, hvt.results, mad.threshold = 0.7,normalize = T,
analysis.plots = TRUE,names.column = dataset_raw[,1])Let’s look at the scored model summary.
The model info displays five attributes which are explained below:
input_dataset: Dimension of the dataset that is used in scoring.
scored_qe_range: The range of ‘Quantization Error’ after scoring all the data points of the given dataset. (from minimum to maximum)
mad.threshold: The value of Mean Absolute Deviation(MAD) Threshold.
no_of_anomaly_datapoints: The value of how many data points are anomalous. If the quantization error of a data point is greater than the ‘mad.threshold’, then it is considered as anomaly.
no_of_anomaly_cells: The value of how much cells have anomaly. If a cell has even 1 anomalous data point, the cell will be considered as anomaly_cell.
scoring$model_info$scored_model_summary## $input_dataset
## [1] "297 Rows & 1536 Columns"
##
## $scored_qe_range
## [1] "0 to 0.7145"
##
## $mad.threshold
## [1] 0.7
##
## $no_of_anomaly_datapoints
## [1] 1
##
## $no_of_anomaly_cells
## [1] 1
Let’s look at the dimensions of scored table..
dim(scoring$scoredPredictedData)## [1] 297 1545
It has 297 rows and 1545 columns (standard output 9 columns + 1536 input dataset columns)
Below are the newly added 9 columns after scoring using
scoreHVT
Segment Level: The tier or depth of a segment in the hierarchical structure.
Segment Parent: The ID of the larger segment that this segment is part of in the level above.
Segment Child: The IDs of smaller segments that are contained within this segment in the level below.
n: The number of entities/data points from the uploaded dataset that are present inside that Segment child.
Cell.ID: The ID of the child which is the result of 1D Sammons.
Quant.Error: The quantization error of that cell that results from the distance calculation.
centroidRadius: The maximum quantization error values as radius for anomalies.
diff: The difference between centroidRadius and Quant.Error.
anomalyFlag: The binary value that says the cell is an anomaly or not. (if the Quant.Error is greater than mad.threshold then it is = 1 (anomaly) else = 0(not an anomaly))
Let’s look at the scored data table. For the sake of brevity we are displaying the first 10 rows and all the 1545 columns.
Act_pred_Table <- scoring[["scoredPredictedData"]]
rownames(Act_pred_Table) <- NULL
Act_pred_Table[1:10,] %>%as.data.frame() %>%Table(scroll = TRUE) | Segment.Level | Segment.Parent | Segment.Child | n | Cell.ID | Quant.Error | centroidRadius | diff | anomalyFlag | E1 | E2 | E3 | E4 | E5 | E6 | E7 | E8 | E9 | E10 | E11 | E12 | E13 | E14 | E15 | E16 | E17 | E18 | E19 | E20 | E21 | E22 | E23 | E24 | E25 | E26 | E27 | E28 | E29 | E30 | E31 | E32 | E33 | E34 | E35 | E36 | E37 | E38 | E39 | E40 | E41 | E42 | E43 | E44 | E45 | E46 | E47 | E48 | E49 | E50 | E51 | E52 | E53 | E54 | E55 | E56 | E57 | E58 | E59 | E60 | E61 | E62 | E63 | E64 | E65 | E66 | E67 | E68 | E69 | E70 | E71 | E72 | E73 | E74 | E75 | E76 | E77 | E78 | E79 | E80 | E81 | E82 | E83 | E84 | E85 | E86 | E87 | E88 | E89 | E90 | E91 | E92 | E93 | E94 | E95 | E96 | E97 | E98 | E99 | E100 | E101 | E102 | E103 | E104 | E105 | E106 | E107 | E108 | E109 | E110 | E111 | E112 | E113 | E114 | E115 | E116 | E117 | E118 | E119 | E120 | E121 | E122 | E123 | E124 | E125 | E126 | E127 | E128 | E129 | E130 | E131 | E132 | E133 | E134 | E135 | E136 | E137 | E138 | E139 | E140 | E141 | E142 | E143 | E144 | E145 | E146 | E147 | E148 | E149 | E150 | E151 | E152 | E153 | E154 | E155 | E156 | E157 | E158 | E159 | E160 | E161 | E162 | E163 | E164 | E165 | E166 | E167 | E168 | E169 | E170 | E171 | E172 | E173 | E174 | E175 | E176 | E177 | E178 | E179 | E180 | E181 | E182 | E183 | E184 | E185 | E186 | E187 | E188 | E189 | E190 | E191 | E192 | E193 | E194 | E195 | E196 | E197 | E198 | E199 | E200 | E201 | E202 | E203 | E204 | E205 | E206 | E207 | E208 | E209 | E210 | E211 | E212 | E213 | E214 | E215 | E216 | E217 | E218 | E219 | E220 | E221 | E222 | E223 | E224 | E225 | E226 | E227 | E228 | E229 | E230 | E231 | E232 | E233 | E234 | E235 | E236 | E237 | E238 | E239 | E240 | E241 | E242 | E243 | E244 | E245 | E246 | E247 | E248 | E249 | E250 | E251 | E252 | E253 | E254 | E255 | E256 | E257 | E258 | E259 | E260 | E261 | E262 | E263 | E264 | E265 | E266 | E267 | E268 | E269 | E270 | E271 | E272 | E273 | E274 | E275 | E276 | E277 | E278 | E279 | E280 | E281 | E282 | E283 | E284 | E285 | E286 | E287 | E288 | E289 | E290 | E291 | E292 | E293 | E294 | E295 | E296 | E297 | E298 | E299 | E300 | E301 | E302 | E303 | E304 | E305 | E306 | E307 | E308 | E309 | E310 | E311 | E312 | E313 | E314 | E315 | E316 | E317 | E318 | E319 | E320 | E321 | E322 | E323 | E324 | E325 | E326 | E327 | E328 | E329 | E330 | E331 | E332 | E333 | E334 | E335 | E336 | E337 | E338 | E339 | E340 | E341 | E342 | E343 | E344 | E345 | E346 | E347 | E348 | E349 | E350 | E351 | E352 | E353 | E354 | E355 | E356 | E357 | E358 | E359 | E360 | E361 | E362 | E363 | E364 | E365 | E366 | E367 | E368 | E369 | E370 | E371 | E372 | E373 | E374 | E375 | E376 | E377 | E378 | E379 | E380 | E381 | E382 | E383 | E384 | E385 | E386 | E387 | E388 | E389 | E390 | E391 | E392 | E393 | E394 | E395 | E396 | E397 | E398 | E399 | E400 | E401 | E402 | E403 | E404 | E405 | E406 | E407 | E408 | E409 | E410 | E411 | E412 | E413 | E414 | E415 | E416 | E417 | E418 | E419 | E420 | E421 | E422 | E423 | E424 | E425 | E426 | E427 | E428 | E429 | E430 | E431 | E432 | E433 | E434 | E435 | E436 | E437 | E438 | E439 | E440 | E441 | E442 | E443 | E444 | E445 | E446 | E447 | E448 | E449 | E450 | E451 | E452 | E453 | E454 | E455 | E456 | E457 | E458 | E459 | E460 | E461 | E462 | E463 | E464 | E465 | E466 | E467 | E468 | E469 | E470 | E471 | E472 | E473 | E474 | E475 | E476 | E477 | E478 | E479 | E480 | E481 | E482 | E483 | E484 | E485 | E486 | E487 | E488 | E489 | E490 | E491 | E492 | E493 | E494 | E495 | E496 | E497 | E498 | E499 | E500 | E501 | E502 | E503 | E504 | E505 | E506 | E507 | E508 | E509 | E510 | E511 | E512 | E513 | E514 | E515 | E516 | E517 | E518 | E519 | E520 | E521 | E522 | E523 | E524 | E525 | E526 | E527 | E528 | E529 | E530 | E531 | E532 | E533 | E534 | E535 | E536 | E537 | E538 | E539 | E540 | E541 | E542 | E543 | E544 | E545 | E546 | E547 | E548 | E549 | E550 | E551 | E552 | E553 | E554 | E555 | E556 | E557 | E558 | E559 | E560 | E561 | E562 | E563 | E564 | E565 | E566 | E567 | E568 | E569 | E570 | E571 | E572 | E573 | E574 | E575 | E576 | E577 | E578 | E579 | E580 | E581 | E582 | E583 | E584 | E585 | E586 | E587 | E588 | E589 | E590 | E591 | E592 | E593 | E594 | E595 | E596 | E597 | E598 | E599 | E600 | E601 | E602 | E603 | E604 | E605 | E606 | E607 | E608 | E609 | E610 | E611 | E612 | E613 | E614 | E615 | E616 | E617 | E618 | E619 | E620 | E621 | E622 | E623 | E624 | E625 | E626 | E627 | E628 | E629 | E630 | E631 | E632 | E633 | E634 | E635 | E636 | E637 | E638 | E639 | E640 | E641 | E642 | E643 | E644 | E645 | E646 | E647 | E648 | E649 | E650 | E651 | E652 | E653 | E654 | E655 | E656 | E657 | E658 | E659 | E660 | E661 | E662 | E663 | E664 | E665 | E666 | E667 | E668 | E669 | E670 | E671 | E672 | E673 | E674 | E675 | E676 | E677 | E678 | E679 | E680 | E681 | E682 | E683 | E684 | E685 | E686 | E687 | E688 | E689 | E690 | E691 | E692 | E693 | E694 | E695 | E696 | E697 | E698 | E699 | E700 | E701 | E702 | E703 | E704 | E705 | E706 | E707 | E708 | E709 | E710 | E711 | E712 | E713 | E714 | E715 | E716 | E717 | E718 | E719 | E720 | E721 | E722 | E723 | E724 | E725 | E726 | E727 | E728 | E729 | E730 | E731 | E732 | E733 | E734 | E735 | E736 | E737 | E738 | E739 | E740 | E741 | E742 | E743 | E744 | E745 | E746 | E747 | E748 | E749 | E750 | E751 | E752 | E753 | E754 | E755 | E756 | E757 | E758 | E759 | E760 | E761 | E762 | E763 | E764 | E765 | E766 | E767 | E768 | E769 | E770 | E771 | E772 | E773 | E774 | E775 | E776 | E777 | E778 | E779 | E780 | E781 | E782 | E783 | E784 | E785 | E786 | E787 | E788 | E789 | E790 | E791 | E792 | E793 | E794 | E795 | E796 | E797 | E798 | E799 | E800 | E801 | E802 | E803 | E804 | E805 | E806 | E807 | E808 | E809 | E810 | E811 | E812 | E813 | E814 | E815 | E816 | E817 | E818 | E819 | E820 | E821 | E822 | E823 | E824 | E825 | E826 | E827 | E828 | E829 | E830 | E831 | E832 | E833 | E834 | E835 | E836 | E837 | E838 | E839 | E840 | E841 | E842 | E843 | E844 | E845 | E846 | E847 | E848 | E849 | E850 | E851 | E852 | E853 | E854 | E855 | E856 | E857 | E858 | E859 | E860 | E861 | E862 | E863 | E864 | E865 | E866 | E867 | E868 | E869 | E870 | E871 | E872 | E873 | E874 | E875 | E876 | E877 | E878 | E879 | E880 | E881 | E882 | E883 | E884 | E885 | E886 | E887 | E888 | E889 | E890 | E891 | E892 | E893 | E894 | E895 | E896 | E897 | E898 | E899 | E900 | E901 | E902 | E903 | E904 | E905 | E906 | E907 | E908 | E909 | E910 | E911 | E912 | E913 | E914 | E915 | E916 | E917 | E918 | E919 | E920 | E921 | E922 | E923 | E924 | E925 | E926 | E927 | E928 | E929 | E930 | E931 | E932 | E933 | E934 | E935 | E936 | E937 | E938 | E939 | E940 | E941 | E942 | E943 | E944 | E945 | E946 | E947 | E948 | E949 | E950 | E951 | E952 | E953 | E954 | E955 | E956 | E957 | E958 | E959 | E960 | E961 | E962 | E963 | E964 | E965 | E966 | E967 | E968 | E969 | E970 | E971 | E972 | E973 | E974 | E975 | E976 | E977 | E978 | E979 | E980 | E981 | E982 | E983 | E984 | E985 | E986 | E987 | E988 | E989 | E990 | E991 | E992 | E993 | E994 | E995 | E996 | E997 | E998 | E999 | E1000 | E1001 | E1002 | E1003 | E1004 | E1005 | E1006 | E1007 | E1008 | E1009 | E1010 | E1011 | E1012 | E1013 | E1014 | E1015 | E1016 | E1017 | E1018 | E1019 | E1020 | E1021 | E1022 | E1023 | E1024 | E1025 | E1026 | E1027 | E1028 | E1029 | E1030 | E1031 | E1032 | E1033 | E1034 | E1035 | E1036 | E1037 | E1038 | E1039 | E1040 | E1041 | E1042 | E1043 | E1044 | E1045 | E1046 | E1047 | E1048 | E1049 | E1050 | E1051 | E1052 | E1053 | E1054 | E1055 | E1056 | E1057 | E1058 | E1059 | E1060 | E1061 | E1062 | E1063 | E1064 | E1065 | E1066 | E1067 | E1068 | E1069 | E1070 | E1071 | E1072 | E1073 | E1074 | E1075 | E1076 | E1077 | E1078 | E1079 | E1080 | E1081 | E1082 | E1083 | E1084 | E1085 | E1086 | E1087 | E1088 | E1089 | E1090 | E1091 | E1092 | E1093 | E1094 | E1095 | E1096 | E1097 | E1098 | E1099 | E1100 | E1101 | E1102 | E1103 | E1104 | E1105 | E1106 | E1107 | E1108 | E1109 | E1110 | E1111 | E1112 | E1113 | E1114 | E1115 | E1116 | E1117 | E1118 | E1119 | E1120 | E1121 | E1122 | E1123 | E1124 | E1125 | E1126 | E1127 | E1128 | E1129 | E1130 | E1131 | E1132 | E1133 | E1134 | E1135 | E1136 | E1137 | E1138 | E1139 | E1140 | E1141 | E1142 | E1143 | E1144 | E1145 | E1146 | E1147 | E1148 | E1149 | E1150 | E1151 | E1152 | E1153 | E1154 | E1155 | E1156 | E1157 | E1158 | E1159 | E1160 | E1161 | E1162 | E1163 | E1164 | E1165 | E1166 | E1167 | E1168 | E1169 | E1170 | E1171 | E1172 | E1173 | E1174 | E1175 | E1176 | E1177 | E1178 | E1179 | E1180 | E1181 | E1182 | E1183 | E1184 | E1185 | E1186 | E1187 | E1188 | E1189 | E1190 | E1191 | E1192 | E1193 | E1194 | E1195 | E1196 | E1197 | E1198 | E1199 | E1200 | E1201 | E1202 | E1203 | E1204 | E1205 | E1206 | E1207 | E1208 | E1209 | E1210 | E1211 | E1212 | E1213 | E1214 | E1215 | E1216 | E1217 | E1218 | E1219 | E1220 | E1221 | E1222 | E1223 | E1224 | E1225 | E1226 | E1227 | E1228 | E1229 | E1230 | E1231 | E1232 | E1233 | E1234 | E1235 | E1236 | E1237 | E1238 | E1239 | E1240 | E1241 | E1242 | E1243 | E1244 | E1245 | E1246 | E1247 | E1248 | E1249 | E1250 | E1251 | E1252 | E1253 | E1254 | E1255 | E1256 | E1257 | E1258 | E1259 | E1260 | E1261 | E1262 | E1263 | E1264 | E1265 | E1266 | E1267 | E1268 | E1269 | E1270 | E1271 | E1272 | E1273 | E1274 | E1275 | E1276 | E1277 | E1278 | E1279 | E1280 | E1281 | E1282 | E1283 | E1284 | E1285 | E1286 | E1287 | E1288 | E1289 | E1290 | E1291 | E1292 | E1293 | E1294 | E1295 | E1296 | E1297 | E1298 | E1299 | E1300 | E1301 | E1302 | E1303 | E1304 | E1305 | E1306 | E1307 | E1308 | E1309 | E1310 | E1311 | E1312 | E1313 | E1314 | E1315 | E1316 | E1317 | E1318 | E1319 | E1320 | E1321 | E1322 | E1323 | E1324 | E1325 | E1326 | E1327 | E1328 | E1329 | E1330 | E1331 | E1332 | E1333 | E1334 | E1335 | E1336 | E1337 | E1338 | E1339 | E1340 | E1341 | E1342 | E1343 | E1344 | E1345 | E1346 | E1347 | E1348 | E1349 | E1350 | E1351 | E1352 | E1353 | E1354 | E1355 | E1356 | E1357 | E1358 | E1359 | E1360 | E1361 | E1362 | E1363 | E1364 | E1365 | E1366 | E1367 | E1368 | E1369 | E1370 | E1371 | E1372 | E1373 | E1374 | E1375 | E1376 | E1377 | E1378 | E1379 | E1380 | E1381 | E1382 | E1383 | E1384 | E1385 | E1386 | E1387 | E1388 | E1389 | E1390 | E1391 | E1392 | E1393 | E1394 | E1395 | E1396 | E1397 | E1398 | E1399 | E1400 | E1401 | E1402 | E1403 | E1404 | E1405 | E1406 | E1407 | E1408 | E1409 | E1410 | E1411 | E1412 | E1413 | E1414 | E1415 | E1416 | E1417 | E1418 | E1419 | E1420 | E1421 | E1422 | E1423 | E1424 | E1425 | E1426 | E1427 | E1428 | E1429 | E1430 | E1431 | E1432 | E1433 | E1434 | E1435 | E1436 | E1437 | E1438 | E1439 | E1440 | E1441 | E1442 | E1443 | E1444 | E1445 | E1446 | E1447 | E1448 | E1449 | E1450 | E1451 | E1452 | E1453 | E1454 | E1455 | E1456 | E1457 | E1458 | E1459 | E1460 | E1461 | E1462 | E1463 | E1464 | E1465 | E1466 | E1467 | E1468 | E1469 | E1470 | E1471 | E1472 | E1473 | E1474 | E1475 | E1476 | E1477 | E1478 | E1479 | E1480 | E1481 | E1482 | E1483 | E1484 | E1485 | E1486 | E1487 | E1488 | E1489 | E1490 | E1491 | E1492 | E1493 | E1494 | E1495 | E1496 | E1497 | E1498 | E1499 | E1500 | E1501 | E1502 | E1503 | E1504 | E1505 | E1506 | E1507 | E1508 | E1509 | E1510 | E1511 | E1512 | E1513 | E1514 | E1515 | E1516 | E1517 | E1518 | E1519 | E1520 | E1521 | E1522 | E1523 | E1524 | E1525 | E1526 | E1527 | E1528 | E1529 | E1530 | E1531 | E1532 | E1533 | E1534 | E1535 | E1536 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 | 1 | 5 | 1 | 25 | 0.6270 | 963.0354 | 962.4084 | 0 | 1.9939 | -0.9525 | -0.9958 | -1.4879 | 0.9279 | -1.1706 | -0.6112 | -0.6424 | -0.6077 | -0.5544 | -1.4186 | 0.3833 | -0.0678 | -1.8291 | 1.7712 | 0.6467 | -1.0899 | -1.2759 | 0.0598 | 0.8509 | 1.6249 | 0.5913 | -0.6148 | -1.6117 | 0.9092 | 2.3868 | -1.6836 | 0.7008 | 0.3531 | 1.7399 | -0.6863 | -0.6318 | 0.8735 | 0.0191 | 0.9682 | 0.7636 | 1.9564 | 0.7763 | 0.0908 | 1.4630 | 0.6363 | 0.4422 | -1.2549 | 0.3111 | -0.8109 | -1.1731 | -0.9796 | 2.2764 | 1.1180 | -1.5735 | -1.7979 | 0.5459 | 1.5403 | 0.0858 | -1.4565 | -0.1067 | 0.5849 | -1.4224 | -0.5522 | -0.6734 | 0.9785 | -1.7093 | -0.7581 | 0.0642 | -1.5196 | 0.4309 | 0.3774 | 1.4723 | -0.2181 | -0.5304 | -0.2088 | 0.2279 | 1.9701 | 0.3995 | 0.7389 | 2.1273 | 1.4518 | 0.0223 | 0.2587 | -0.2608 | -1.4780 | -0.1892 | 0.8062 | -1.5261 | -0.2343 | 0.7924 | 1.4024 | -0.3458 | 1.6508 | -0.7769 | 1.4809 | -0.6827 | 0.5224 | 0.8780 | -1.9926 | 1.0107 | 1.3894 | -1.2760 | 0.1026 | -1.2943 | 1.6325 | 1.3942 | -0.5487 | -1.0794 | -0.7162 | 0.3986 | 0.2656 | 0.7592 | 0.6671 | -0.4131 | 1.1164 | 0.9112 | -0.8288 | 0.8028 | 1.0356 | 2.1030 | 0.5454 | 1.8007 | 0.5637 | 1.8298 | 1.3039 | -1.6847 | -1.7467 | 0.0491 | -0.6109 | -1.4081 | -1.0580 | -0.9059 | 0.4326 | -1.9458 | 1.2313 | -1.0798 | 0.4070 | -0.2651 | -0.1219 | -0.5988 | 0.7297 | -0.6376 | -0.5023 | -0.0690 | -0.6161 | -0.3863 | 1.0278 | -0.2656 | -1.1672 | -0.5129 | -0.3532 | 0.5845 | 0.4965 | 0.2798 | -0.3602 | -0.0516 | -1.0773 | 0.0154 | -0.6679 | -2.4940 | 1.4639 | 0.3860 | 0.6970 | 0.2845 | -1.4509 | 0.7407 | -2.1837 | 0.5964 | 1.1560 | 1.7412 | 0.7906 | 0.3195 | -0.4006 | -0.6938 | -1.7109 | -0.4080 | -1.5790 | -0.3310 | -1.9592 | -0.7918 | -1.5801 | 0.3975 | 1.7684 | -0.7750 | 1.1966 | -3.1887 | -0.2716 | 0.2111 | -0.2695 | 0.0797 | -0.6632 | 0.2730 | 0.2083 | -0.8074 | 1.5023 | -1.2169 | -0.0237 | 0.2682 | 0.7720 | 0.4555 | -0.0507 | 0.1826 | -2.5265 | -1.6751 | 1.1685 | 0.8931 | 0.8691 | 1.9041 | 0.2850 | -0.7561 | -0.8368 | -0.3392 | 0.7994 | -1.0747 | 0.9417 | -1.0685 | 1.0632 | -0.7240 | -1.2910 | 1.8690 | -1.0843 | -1.3279 | -0.9254 | 0.3458 | 1.0333 | 1.8552 | -0.0528 | -0.6659 | -0.3361 | 1.0563 | 0.0102 | 0.3505 | -0.5161 | -0.1175 | 0.5958 | 1.2358 | -0.4791 | 0.2772 | 1.8568 | 1.1674 | -0.4480 | 0.4703 | 0.6985 | -0.2046 | 2.3334 | -1.1279 | -1.0123 | -0.8698 | -0.3437 | -1.2090 | -0.0642 | 0.5481 | 0.7448 | -1.0056 | -0.6956 | 0.5427 | 0.0700 | 0.0299 | 2.0278 | -0.4660 | -0.2423 | -1.6114 | -1.8488 | 0.3389 | -0.3802 | 0.4043 | -2.6851 | -0.2688 | -1.0027 | 1.4305 | -0.5181 | -0.2489 | 0.2050 | 0.2096 | 1.1381 | 0.2656 | -1.0585 | 0.6680 | -0.1325 | -0.6548 | -0.2437 | -1.1160 | -0.7753 | -0.0926 | 0.6748 | -1.1873 | 1.6926 | 1.2563 | -0.5092 | -0.1244 | -2.2110 | 0.5883 | -0.6845 | -0.1907 | 0.5190 | 1.3420 | 1.7831 | -0.3185 | -1.2819 | -1.9612 | 0.5659 | -0.9883 | 1.1244 | -0.0914 | -0.6375 | -2.7295 | 0.7003 | -0.5602 | 0.5440 | -0.6892 | -0.6365 | -0.5434 | -1.2042 | -0.7278 | 1.0224 | -2.1150 | 0.6951 | -1.0923 | 0.3102 | 1.0817 | 0.7767 | 0.1376 | 0.7288 | -1.1017 | -0.8704 | -0.5636 | 0.0990 | 0.5918 | -0.9162 | -0.0013 | -0.8629 | 1.2031 | -0.5002 | -1.0356 | 0.2565 | 1.9734 | -1.4445 | 0.4578 | 1.8482 | 0.4079 | 0.3802 | 0.2294 | -0.0130 | -0.2252 | 0.3694 | 1.7141 | 0.7403 | -2.2699 | -1.1069 | -0.4658 | 0.1281 | 1.7153 | -1.4169 | -0.2055 | 0.4792 | 2.2040 | 0.1845 | -0.7076 | 1.1233 | -1.4996 | -1.0856 | -1.1476 | -1.0638 | 0.9775 | -1.4070 | -0.0228 | 0.6085 | 0.1096 | 0.7369 | 0.8368 | -0.0804 | 1.5700 | -1.5237 | 1.1909 | -0.1451 | -1.0855 | 0.0660 | 0.3631 | 0.3704 | -0.2094 | 0.0316 | -0.0225 | -0.6966 | -1.4740 | 3.0086 | 0.9183 | -0.3612 | 0.8050 | -0.1048 | 3.0252 | -1.3715 | -0.1645 | 0.1449 | -1.3335 | 0.1318 | 0.7365 | 0.5278 | 2.2307 | 0.2602 | 0.2156 | -2.3057 | -0.2448 | -0.0544 | 0.1475 | -1.1961 | 0.3929 | -2.2793 | 0.1180 | 0.2921 | 1.1358 | 0.8090 | 0.6872 | -0.8128 | 0.1647 | 0.1645 | -0.1446 | -0.7089 | 0.5836 | 1.0647 | -2.4462 | 0.2605 | -0.7428 | 0.4847 | 0.1497 | 0.4262 | 1.2027 | -0.5077 | -1.5590 | -1.4856 | 0.9456 | 0.7870 | -1.3809 | 0.4521 | 0.8675 | 2.1659 | 1.3413 | -1.3280 | 2.1162 | 1.0171 | 1.6202 | -0.2365 | -0.1494 | 1.3739 | 1.0670 | 1.1105 | -0.8430 | -1.4505 | -0.6821 | -0.1910 | 0.0847 | 1.0256 | 0.0803 | 0.0134 | -0.7860 | 0.4701 | -0.3147 | 0.0834 | -0.4911 | -0.0680 | -1.1613 | -1.0054 | 2.1686 | -1.5006 | -1.5797 | -0.1782 | -0.2196 | 0.9841 | -1.1245 | -0.3925 | -0.2960 | 0.4670 | -0.3263 | -1.9496 | 0.7341 | -0.8636 | -0.2926 | -0.3087 | 0.2412 | -0.5759 | 0.2146 | -0.0321 | -0.5497 | 0.8545 | -1.6918 | -0.9354 | -0.7420 | 0.7906 | -0.6545 | -0.3574 | -2.8319 | 0.2685 | 0.6816 | 0.1801 | -0.7932 | -0.8501 | 0.6159 | -1.3215 | -0.1515 | 0.6192 | 1.1751 | -0.9561 | -0.7330 | 0.6745 | -0.7303 | -0.2171 | 1.2629 | -0.4335 | 0.0781 | -0.4060 | 0.6786 | 1.2688 | -1.7939 | -0.5014 | 0.6841 | -0.1429 | -0.3078 | -0.7164 | 2.1484 | 0.8995 | 0.2965 | 0.1883 | -1.3961 | -1.7746 | -1.4087 | 0.1125 | 0.5721 | -2.0556 | -1.3405 | 1.1908 | -0.2741 | -0.8984 | 0.2074 | 0.0038 | 0.7218 | -0.3475 | 0.0439 | -1.3953 | -0.1737 | -0.7191 | -0.0408 | -1.5627 | -0.4876 | 2.7874 | -0.7094 | 0.7423 | -0.2223 | 0.0017 | 1.1458 | 0.4369 | -0.0992 | -1.7706 | 0.1825 | 0.0852 | -1.4554 | -0.7676 | 0.6269 | -1.2349 | 0.0774 | -1.3619 | 0.7236 | -0.9227 | -0.4530 | -0.3424 | 3.2467 | -1.3819 | -0.8504 | -0.0257 | 1.6579 | 0.2111 | 0.2592 | 1.5201 | 0.2760 | -0.2712 | -0.3128 | -0.9214 | -1.7198 | -2.5074 | -0.0309 | 2.0289 | -0.2150 | -1.3598 | -3.0582 | -0.9279 | 0.6305 | -0.6269 | -0.7269 | -0.8982 | 0.3904 | 1.1951 | -1.4198 | 1.3313 | -0.0420 | -0.8002 | 1.0216 | -0.4517 | -1.0293 | -1.6067 | -2.4049 | 0.5178 | 0.3311 | -0.1415 | 0.0969 | 0.5140 | 0.2075 | 0.1132 | -0.6472 | 0.0168 | -0.2821 | -1.7945 | -1.4203 | -0.4142 | -0.5159 | -0.2441 | -2.1249 | 1.1501 | 1.7403 | 1.3873 | -0.9509 | -1.4477 | -1.8168 | 1.6215 | -0.0964 | -1.5909 | -0.7816 | 0.5364 | 0.0116 | 0.4653 | -0.1471 | -1.3962 | 1.2724 | 0.6847 | 0.8630 | -2.4664 | 0.3710 | 1.0720 | -0.7346 | -1.5074 | 0.0489 | -0.8777 | -2.3603 | 1.4464 | -1.7417 | 1.4250 | 0.3711 | -0.6886 | -0.0808 | 0.5316 | -0.7693 | 1.5158 | -0.5488 | 1.5974 | 1.6569 | 0.1458 | -0.1943 | -0.4931 | 0.4679 | -0.4516 | -0.2736 | 0.8217 | -1.3072 | 0.0973 | -0.4582 | -0.4306 | -0.4344 | 0.1154 | 0.6286 | 0.3265 | -0.1735 | -1.0871 | 1.3017 | -0.5369 | -0.2293 | -0.7718 | -0.6276 | -0.0724 | -2.2960 | -0.8940 | -1.4030 | -1.5159 | -0.8977 | 1.4410 | 0.4867 | -0.2230 | -0.4034 | 0.3116 | 1.0222 | 1.1797 | -0.4309 | -0.1510 | -0.8971 | -1.3978 | 0.7843 | 0.8600 | -0.1972 | 1.0497 | -0.7054 | -1.5760 | -0.9532 | 0.1803 | 1.7803 | -1.3860 | -0.7846 | -1.3864 | 0.2143 | 0.0004 | -0.2903 | -0.8812 | -0.4112 | -0.2560 | 1.6837 | 1.2923 | -0.3671 | 1.2785 | -2.1541 | 0.3812 | -0.5932 | 1.6608 | -0.9946 | 2.4268 | -0.6675 | -1.2797 | -0.0631 | 0.0727 | 1.2162 | -0.3682 | -0.5412 | 0.1408 | 0.3906 | -0.1192 | -0.3408 | 0.5938 | 1.1687 | 0.4033 | 0.1354 | 0.5842 | 0.2721 | -0.0571 | 0.8177 | 0.9364 | 2.0835 | 0.2476 | -0.1106 | 2.4043 | 0.3860 | -0.4375 | 1.1038 | -0.4714 | -0.3062 | 0.5382 | 0.7249 | 0.8222 | -0.2765 | 1.4902 | -0.1682 | -2.1238 | 0.2042 | -2.3363 | 2.3950 | -2.2303 | -0.9923 | -0.2275 | -1.8826 | 0.3291 | 0.9612 | 0.2217 | -0.4978 | 0.3724 | -2.2857 | -1.3106 | 0.6345 | -0.4385 | -0.6085 | -0.3052 | 1.9157 | -0.8970 | 0.3090 | -1.0711 | 0.6653 | 2.0762 | 0.8674 | 0.4189 | 1.9130 | -0.1576 | 0.8173 | 0.5022 | 0.1075 | 0.8130 | -1.3175 | 0.5317 | -1.0142 | -0.6452 | 0.9029 | 0.8420 | -0.4822 | 0.9195 | -0.5667 | 0.9444 | -1.5320 | 0.2843 | 0.0429 | -1.2054 | 0.2425 | 2.3271 | -1.4907 | 0.1950 | -0.5440 | 1.5286 | -1.6362 | -0.8022 | 0.7976 | -0.2053 | -0.9332 | 0.5165 | 0.7719 | -1.1938 | 0.2694 | -1.0181 | 1.4659 | -0.1330 | 0.4509 | 0.1451 | -0.5022 | 1.1503 | 0.0964 | 2.0117 | 0.1554 | -1.2874 | -0.0206 | -0.0930 | -1.8497 | -0.0495 | 0.3793 | -0.6959 | -0.9560 | 0.5709 | 0.4375 | 0.5283 | -0.5591 | -0.6531 | -0.4520 | 2.4665 | 1.0339 | 1.3791 | 0.2325 | 0.2464 | -0.2118 | -0.2462 | -0.2739 | -1.7791 | -1.5959 | -0.3410 | -0.5887 | -0.4536 | 0.0325 | 1.5674 | -0.3197 | 0.3082 | 0.8047 | -0.2028 | -1.5831 | 1.1548 | -0.8835 | 0.6780 | 1.2139 | -0.8274 | -2.1336 | -1.3746 | -1.1556 | -0.5071 | -0.7214 | -0.6959 | 0.3573 | -0.6571 | 3.2388 | 1.6145 | -0.6239 | -2.5553 | -0.4220 | -0.6238 | -0.5521 | 0.4286 | 0.2867 | 1.4261 | 1.8003 | 1.1272 | 0.3817 | 1.2058 | -0.0327 | -0.1274 | 0.4568 | -0.0168 | -1.9687 | 0.0504 | 2.5737 | -0.8251 | 1.3486 | 1.3325 | 2.2883 | -0.7454 | 2.0798 | 0.7178 | 0.6259 | -0.0524 | -0.1337 | -0.7080 | 0.6866 | 0.0391 | -2.0591 | 0.8416 | 1.4355 | -1.2172 | -1.2312 | 1.4834 | -0.1705 | -0.3900 | -1.1369 | 0.6352 | 0.8676 | 0.7205 | 0.1874 | -1.0162 | 0.3351 | 0.4971 | -0.2008 | -0.3033 | -0.4189 | -0.3783 | 0.9279 | -0.1346 | -0.2591 | -0.7861 | 2.5118 | -0.6054 | 0.4287 | -0.2251 | 0.9979 | -0.8082 | 1.2829 | 2.0123 | -0.6615 | 0.9613 | 0.2184 | 0.0421 | -0.2211 | -0.7289 | 0.6529 | -0.8196 | -0.8572 | 1.0266 | 2.1229 | 0.3463 | 0.1518 | 0.3243 | -0.1240 | 2.4501 | -0.8764 | -0.4425 | -1.1023 | -2.2557 | 0.6039 | -0.2169 | 0.0819 | -0.2933 | -0.0597 | 0.5136 | 0.5008 | 1.9798 | -0.1823 | -0.0688 | 2.1619 | 0.8370 | -0.0935 | 0.4878 | 0.4934 | -0.1515 | 0.4476 | 0.7160 | 1.7008 | -0.2856 | 0.0491 | -0.8591 | -1.2302 | -0.6741 | -0.4548 | -0.5066 | -0.5734 | 2.3172 | 0.0833 | 0.3682 | 1.4309 | 0.7161 | -1.3009 | 0.5528 | -1.6616 | 2.1887 | -1.1360 | 0.7524 | 1.0207 | -0.6079 | 1.2465 | -0.2779 | 1.5229 | 0.7562 | -1.5314 | -0.6267 | 0.8516 | -1.3004 | -2.1667 | -0.2599 | 0.1388 | -1.5278 | -0.5942 | -1.9447 | 0.7053 | 0.6976 | 2.0689 | 0.2873 | -1.2489 | -0.2027 | 0.6668 | 2.1671 | 0.1403 | -1.2638 | 0.1496 | -0.8961 | 0.6570 | -0.4357 | 1.5353 | -0.6878 | 0.3636 | 0.7757 | -0.4917 | -1.0782 | -1.0108 | -0.3047 | 0.1862 | 1.0918 | -0.0877 | 0.6789 | -0.2159 | -0.3923 | -0.4468 | -0.1893 | 0.2691 | 0.9024 | -1.9719 | -1.0268 | 0.4460 | 0.7597 | 3.2587 | 0.0875 | -0.6092 | -0.5029 | -0.6635 | 2.0477 | 0.8399 | -1.4500 | 0.6570 | -1.8219 | 2.1441 | -0.7449 | -0.4436 | -0.4643 | 1.4794 | -2.0125 | -1.5606 | 0.1507 | 1.1465 | 0.9693 | -0.3755 | -0.8238 | 1.4113 | 0.2993 | 1.1901 | 2.3811 | -0.3724 | -0.6755 | 1.2378 | -0.5787 | -0.5705 | 0.8239 | 0.5362 | -0.6548 | 0.0130 | 1.5834 | -1.7494 | -0.0295 | -1.0252 | -0.1394 | 0.4032 | -1.0762 | -1.3952 | 0.6688 | 1.9136 | 1.1082 | -1.0431 | -0.4065 | 2.8998 | -2.2542 | -0.1865 | 2.2227 | 0.0228 | -0.5051 | 0.4477 | 1.4901 | 1.3819 | -1.5469 | 2.1284 | -2.3794 | -1.6487 | -0.1541 | 0.3942 | -0.3892 | -0.4073 | 0.2489 | 0.5493 | 1.3310 | 0.4340 | -2.3696 | 1.2723 | -0.8530 | -1.0114 | -0.4543 | -0.1804 | 0.0284 | -1.6147 | 0.2918 | 0.4707 | 1.4869 | 0.3836 | -1.7119 | -0.1504 | 0.2407 | -0.3863 | 0.9006 | 0.2871 | -0.6293 | -0.8494 | 1.3472 | 2.0581 | 0.4482 | -1.3082 | 0.4320 | -0.1598 | 0.0674 | -0.5591 | -2.0031 | 0.6916 | 2.4819 | 0.6601 | 0.5479 | -0.3497 | 1.9111 | 0.0275 | 0.5479 | -2.8296 | 2.5745 | 0.5341 | -1.0251 | 0.2079 | 1.6451 | 1.0419 | 1.7703 | 1.1296 | 1.8409 | -1.3788 | 0.2132 | 0.2782 | 0.5815 | -0.2984 | -0.9059 | -0.5923 | 0.0192 | 2.1982 | 1.5037 | 1.8059 | -0.6567 | -0.2085 | 2.1651 | 0.7093 | 1.3372 | -0.1117 | 1.9988 | -1.2968 | 0.1679 | -0.1657 | -0.8275 | 0.1224 | -1.2357 | -1.7227 | 1.4497 | 0.7339 | -1.3611 | -0.9208 | 0.1371 | 0.3908 | 0.1472 | -0.1894 | -0.6787 | 0.5970 | 0.1942 | -0.4500 | -1.1716 | 1.6319 | 0.1568 | -2.1169 | 1.0633 | -0.0001 | 0.4571 | -2.1498 | -0.4605 | -0.2699 | -1.1757 | 1.1604 | -0.5564 | -1.2789 | 1.6056 | 1.1299 | 0.1258 | -0.5384 | 1.1642 | -0.4794 | -0.0459 | -1.0069 | 1.2998 | 0.3109 | 2.3507 | -0.8284 | 1.4429 | -0.1719 | 0.4655 | 1.4136 | 1.3210 | -0.6901 | -0.3685 | -0.2236 | 0.2664 | 0.9686 | -0.8688 | 0.1683 | -1.2701 | 1.8387 | -0.7172 | 0.7346 | -0.3998 | 1.9852 | -1.2446 | -0.0552 | 0.7419 | -0.8567 | 0.8620 | -0.6575 | 0.1031 | 0.6601 | -1.8969 | 1.5853 | 1.3096 | -0.3226 | 0.9675 | 1.1278 | -0.1667 | -0.5756 | -0.5100 | 0.7265 | -1.0556 | 0.6851 | -0.3891 | -0.8598 | -0.8537 | 0.5848 | 1.2268 | -1.2524 | 1.6071 | -0.7599 | -1.6777 | 0.8612 | 0.9659 | -0.4176 | -0.9373 | -1.5250 | -0.4805 | -0.6506 | 1.7416 | -2.0478 | -1.5873 | 1.5842 | 0.5014 | -0.7336 | 1.3267 | 0.6403 | 0.3897 | 0.4082 | 0.2562 | 0.4845 | -1.9726 | -1.5869 | 0.4533 | 0.7937 | -0.2961 | 0.8654 | -1.6206 | -2.0234 | -1.0298 | 0.5071 | -2.0697 | 0.7983 | 0.3978 | 1.2589 | 2.0361 | -0.1008 | 0.9687 | -0.9665 | 0.6887 | -0.6784 | -0.3124 | -0.1662 | -0.8289 | -0.7417 | -0.2874 | -0.6674 | -0.5173 | 0.0043 | 0.7021 | -1.6263 | -1.5554 | -1.9874 | 1.8387 | -0.9258 | 2.1695 | 0.5193 | 0.4390 | -1.8460 | 1.0970 | -0.7982 | 0.7254 | -0.3827 | 1.5077 | -0.7363 | -0.8652 | -1.6200 | -0.4538 | -1.5694 | 1.2371 | -1.1836 | 2.0411 | -0.2458 | -0.6225 | -1.2192 | 0.5084 | -1.1263 | -1.1044 | -1.5005 | -0.8415 | -0.0129 | -1.3747 | 2.6084 | 1.2024 | -1.3720 | 0.4955 | 0.6455 | -0.2999 | 0.2592 | -0.6140 | 0.1083 | 0.6679 | -0.5424 | 1.1500 | 0.8448 | 1.0451 | 1.5648 | 0.4645 | 0.3394 | 1.2562 | 0.4785 | 0.2963 | 0.6745 | -0.4372 | -0.5085 | -0.3384 | -0.2438 | 0.5504 | -0.7319 | -0.0042 | 0.7833 | -1.3559 | -0.0827 | 1.6186 | 0.4474 | -0.8232 | 1.3010 | 1.0744 | 0.8697 | -1.2101 | -1.2296 | -1.5637 | 0.2592 | 0.0506 | -1.9351 | -0.3248 | -2.3286 | 0.0988 | 0.5091 | 0.9125 | 0.8093 | -1.7534 | -1.4475 | -0.3876 | 0.1147 | -1.1789 | -1.1065 | -1.4100 | 0.9500 | 0.8720 | -0.3618 | 0.4350 | -1.5832 | 0.7073 | 1.2704 | -0.5818 | -0.0749 | 1.2598 | -0.0886 | -1.6032 | 0.0476 | 0.3155 | 0.3659 | -0.2836 | -0.3079 | -0.3935 | 1.6550 | -1.7021 | 1.2580 | -1.6608 | -1.6007 | -0.7283 | 1.0072 | 0.2293 | 0.5135 | -0.7367 | -0.4657 | -0.4537 | 0.8248 | -0.9757 | 2.2833 | 0.0359 | 1.0952 | -0.6134 | -2.2079 | 0.4313 | 1.5028 | 1.7768 | -2.5645 | 1.5678 | 0.3247 | 0.6103 | -0.3250 | 0.3431 | -0.8206 | -1.3713 | 0.0650 | 0.6510 | -0.5674 | 0.7379 | -1.1759 | -1.1640 | -1.0628 | 0.4588 | 1.9171 | 1.3237 | -0.9326 | -0.4776 | 0.5896 | 0.0677 | 2.2040 | 0.9760 | 0.8035 | 1.5058 | 0.6862 | -1.7288 | -0.3450 | 1.0565 | -1.2345 | -0.4914 | -0.8745 | 1.6345 | 0.2721 | 0.7871 | -0.4563 | -1.0464 | -0.9673 | 0.1127 | 1.8041 | 2.3841 | 0.3313 | -1.0922 | 0.0471 | 0.4478 | 1.2120 | 0.6036 | -0.3147 | -0.9482 | 1.1847 | -0.4914 | 1.2244 | 1.1252 | 1.2519 | 0.6710 | -0.3445 | 1.6095 | -1.0257 | 2.8300 | 0.2168 | -2.4150 | 0.9631 | 0.0752 | -1.9762 | 0.4698 | 1.0605 | 1.2281 | -1.1572 | 1.2114 | 0.9540 | -1.0932 | -1.3682 | 1.8192 | -0.2009 | -0.6601 | -0.6752 | -0.2353 | -0.1215 | -0.1979 | 2.0721 | 1.7255 | 2.8980 | -0.5701 | -0.5760 | -0.3855 | -0.8979 | -0.0440 | 1.1893 |
| 1 | 1 | 107 | 1 | 72 | 0.5700 | 958.1043 | 957.5343 | 0 | -0.9261 | -0.0167 | -1.2392 | -0.5475 | 1.5360 | -0.4641 | 1.7823 | -0.3293 | -0.0275 | -0.3152 | 0.6495 | -0.6955 | -1.6476 | -2.1576 | 0.1694 | 1.2016 | -0.6432 | -1.0811 | 1.8531 | -0.4097 | -0.0153 | -2.2671 | 0.6210 | -0.4529 | 0.0997 | -0.2704 | 1.4888 | 0.6486 | 0.1530 | 1.0942 | -0.4623 | 0.2620 | 0.4987 | -0.1402 | 0.4801 | -0.1092 | -1.2002 | -1.5102 | -0.4293 | -0.5072 | 0.1805 | -0.7977 | 1.8981 | 0.2423 | -0.2032 | 0.2301 | 0.5500 | 0.3326 | 1.3920 | -0.9501 | -2.1471 | 0.7845 | 0.1268 | -1.8223 | 0.6499 | 0.6037 | 1.0634 | 0.7679 | -1.0848 | 0.5576 | 0.1403 | 1.3082 | -0.7391 | -0.1579 | 1.4629 | -0.0564 | 0.9979 | 0.1904 | -0.8278 | 0.4185 | -0.7059 | 0.7335 | 0.8542 | 0.0446 | -1.1346 | 1.2908 | 0.8286 | -0.3413 | 1.2275 | 0.4145 | -0.0948 | 0.5769 | 0.0015 | 1.7799 | 0.6959 | 0.8265 | -1.3835 | -0.4418 | 1.9324 | -1.5538 | 0.5099 | -0.6002 | 1.7495 | -0.0934 | -0.4581 | 2.0509 | -0.3559 | 0.1824 | -0.4420 | 1.8252 | -0.5912 | 0.8478 | -0.4484 | 1.2492 | 0.8246 | 0.4207 | 0.0913 | -1.1738 | -0.7020 | 0.5778 | -1.5961 | -0.5074 | -0.3474 | -0.4894 | 1.3961 | 0.9518 | -1.0709 | -1.7720 | -1.4243 | 0.3432 | 1.2560 | 0.4581 | -0.0392 | 1.1019 | -0.2760 | -0.5109 | -0.3552 | -1.8471 | 1.2594 | -0.4304 | 0.5774 | -2.1390 | 0.1782 | 2.0116 | 1.7665 | -0.5152 | -0.7683 | -0.4307 | 1.3295 | -0.1770 | -0.7248 | 2.1431 | 0.6788 | 1.9715 | -1.2271 | -0.5653 | -0.1345 | -0.1644 | -0.4940 | 1.0596 | 0.3047 | 0.1106 | -0.5697 | 0.7601 | -0.2377 | 1.1221 | 0.5910 | -0.2656 | 0.5983 | 0.8946 | 1.3773 | 0.4015 | 0.4600 | 0.7622 | 0.7353 | -0.2621 | 0.4652 | -1.5805 | -0.3387 | 0.0722 | -0.9097 | 0.1996 | 1.0898 | -1.2175 | -0.7372 | -1.0724 | 1.7041 | 2.2342 | 1.7437 | 2.0902 | 0.4955 | -0.9600 | -1.3145 | -1.2750 | -1.2298 | 0.6099 | -0.7347 | 1.1165 | 0.7284 | 0.4899 | -0.7714 | -0.5311 | 0.6008 | 1.9623 | 0.2322 | -0.9141 | 0.6245 | 1.5375 | 0.4423 | 0.7531 | 0.1327 | -1.4758 | -1.0939 | -0.5029 | -0.9171 | 0.8623 | 0.7774 | 0.4996 | -1.1075 | 0.6747 | 0.1116 | -2.4884 | -1.0544 | 0.0953 | -0.5089 | 0.1729 | 0.8931 | 0.5995 | -0.9688 | -0.0730 | 2.1468 | 0.9457 | -0.2454 | -0.8309 | 1.1678 | 0.1313 | -0.1392 | -0.3048 | -0.3887 | 1.2643 | 0.6006 | -0.1181 | 0.4613 | -0.3875 | -0.0200 | -0.5490 | -0.0483 | -0.1797 | 0.0662 | -0.7018 | 0.7040 | 0.1843 | -0.9036 | -0.7584 | 0.2268 | 0.9011 | 1.4915 | 0.2390 | -2.6935 | 0.6559 | 1.0126 | -1.2410 | -0.9016 | -0.2412 | -0.4879 | -1.3073 | -1.0468 | 0.5142 | -0.9997 | 0.4950 | 0.8593 | 1.6986 | 1.2412 | 1.8127 | -0.8329 | 0.1499 | 1.1607 | -0.9598 | 0.2845 | -1.0780 | 1.0648 | 0.4211 | 1.0289 | 0.0546 | 0.8507 | 0.4365 | 0.2050 | -1.9594 | -0.0568 | -0.4170 | -0.9458 | 1.3248 | -0.5742 | -0.7936 | 1.1373 | 1.2323 | 0.9480 | 0.2827 | 0.3128 | -2.2581 | 0.7062 | -0.5513 | -0.9901 | 1.0717 | 2.0659 | 1.1052 | -0.3268 | -1.0407 | -0.6899 | -0.0937 | 0.6404 | -0.0116 | 1.1432 | 0.0383 | 0.3235 | 0.3285 | -0.9677 | 0.0983 | -0.7713 | -0.2148 | 2.0430 | -0.9877 | 2.3321 | -0.9184 | -0.6538 | -0.7289 | 0.2283 | -0.9440 | -0.9270 | 1.2467 | 0.3575 | -0.7517 | -2.4017 | 0.7752 | 1.8134 | -0.3814 | -2.0253 | 1.4534 | 0.7329 | -0.1835 | 1.3433 | -0.1572 | 0.8897 | -0.4314 | 0.2670 | -0.7353 | -0.1144 | -0.6132 | 0.2650 | 1.1394 | 0.6160 | -0.1869 | 0.2768 | -0.0147 | 0.4068 | -0.7237 | 0.3267 | -0.6797 | 0.0906 | 0.1350 | 0.4424 | 0.3006 | -0.8665 | 0.1406 | 0.0139 | 1.0436 | -0.0122 | -1.0610 | -0.6015 | 0.4215 | 0.9898 | -0.4997 | 0.4994 | 0.2831 | -0.5252 | -1.1773 | -1.4497 | -0.8939 | 1.3846 | -0.1983 | 0.9708 | 0.6051 | -0.4717 | -0.3205 | 0.1199 | 0.9270 | -0.5961 | -0.3666 | 0.2567 | -0.4687 | -0.9694 | 1.5924 | -0.7271 | -0.5259 | -0.9153 | 0.8433 | 1.4084 | -0.2642 | -1.9490 | -1.0040 | -1.3563 | 0.3015 | -0.8586 | 0.3154 | 1.0661 | 1.4617 | -1.2618 | -1.0436 | 0.7722 | 0.2667 | -0.0210 | -1.8328 | -0.4745 | -0.8376 | 0.1887 | -0.8456 | 1.1399 | 2.4273 | -0.0947 | -0.7786 | -1.9087 | 0.8565 | -1.3310 | 0.1229 | 0.6063 | -0.7114 | 0.0132 | 0.3692 | -0.1866 | -0.5633 | 0.2696 | 0.4388 | -0.0593 | 1.0309 | -0.7743 | 0.7449 | 0.0078 | -0.1302 | -1.0447 | 0.0722 | -0.7213 | -1.5538 | -2.6005 | -0.2854 | -0.1437 | -1.8296 | -1.0237 | 0.4986 | 1.6657 | 0.1403 | -0.6697 | 0.3116 | 0.0901 | 0.0130 | 0.3372 | -0.0656 | -0.9617 | -0.1972 | 1.4090 | -0.5806 | -0.6118 | -0.8337 | 0.2103 | 1.1844 | 1.2142 | 0.1620 | -0.1903 | -1.0443 | 0.1758 | -0.1809 | 1.0859 | 0.9632 | 1.3391 | 1.5278 | 0.2753 | 0.5525 | -0.4998 | -0.5794 | 0.8917 | -0.4000 | -0.2175 | -0.0944 | 0.1541 | 0.4332 | -0.7174 | -1.2167 | -1.0267 | 0.1450 | -1.0924 | -0.0088 | 1.1820 | 0.6225 | -0.4601 | -0.3723 | 0.8508 | 0.2003 | 1.6648 | -1.0567 | 0.2259 | 0.3707 | -2.0534 | 0.6486 | -0.7420 | 0.8713 | -0.3947 | 0.8373 | 0.1395 | -0.8332 | 0.7413 | -0.4781 | 0.7394 | -0.7824 | -1.6487 | -0.6489 | 0.5266 | -0.0415 | 0.5647 | 0.2380 | -0.4558 | 1.9233 | -0.1181 | 0.9966 | -0.3359 | -1.1318 | 1.0024 | -0.4066 | 1.0476 | 0.2320 | -0.7343 | -1.8282 | 0.6253 | -0.1797 | -0.9854 | 0.7360 | -1.8032 | 1.4529 | -1.3395 | 0.1803 | 0.0006 | 0.1056 | 0.2547 | 0.0214 | 0.7182 | -0.4024 | 0.5873 | -0.2890 | 0.2482 | -0.1123 | 1.2837 | 0.0383 | -1.0147 | -0.4077 | 0.6345 | -1.2990 | -0.3688 | -0.5021 | 1.2867 | 1.9391 | -0.7789 | -0.3473 | 0.4293 | 0.1123 | 2.6853 | 1.6509 | 2.0609 | -1.4297 | 0.0378 | -1.3071 | -0.9226 | 0.2960 | 0.5097 | 0.9342 | -2.2226 | 0.1035 | 1.3709 | 1.1874 | -0.4343 | 2.1250 | -0.7323 | -0.2509 | 0.5364 | -0.6609 | -0.1991 | 0.7630 | 0.3736 | -0.3104 | -0.4723 | -0.9571 | 2.2682 | 2.0314 | -0.2262 | 0.6700 | 0.6955 | -1.4615 | 0.8063 | 0.0016 | 1.5249 | 0.1675 | 0.1566 | -0.3618 | 1.0639 | -0.0314 | -0.0306 | 1.2921 | -0.3926 | 0.7337 | -1.5983 | 0.7827 | -1.1151 | 0.5803 | 0.6866 | 0.9717 | -0.9289 | -1.5151 | 0.5237 | 0.2363 | -0.0047 | 0.3804 | -0.2069 | 1.8737 | 0.0785 | -0.5127 | -0.7809 | -1.0321 | 0.5238 | 0.0933 | 0.7032 | 0.1536 | -0.9642 | -1.1733 | 1.2221 | 0.6483 | 0.1937 | -0.1695 | 1.0686 | 0.7973 | -0.9035 | 1.7164 | 0.2606 | 0.8216 | 0.4019 | 0.6491 | 0.5574 | -0.5644 | -1.6842 | -0.0540 | -2.1397 | 0.0008 | 1.3973 | -0.6993 | -0.1913 | 1.0466 | -1.1302 | 1.1842 | 0.0811 | -1.4318 | -1.1238 | 1.6775 | 0.3156 | -0.5342 | 1.0452 | 1.3641 | -0.3804 | -0.8476 | -2.4951 | 0.9096 | -2.4281 | -1.0092 | -0.0959 | -0.6932 | -1.0574 | 0.3328 | -0.3661 | 0.9434 | -1.5551 | 0.9137 | -1.4529 | -0.6148 | -1.4756 | 1.1843 | 0.5137 | -1.3664 | 0.0604 | 0.0841 | -0.3174 | 1.1689 | -0.7208 | 0.4488 | 0.2740 | 0.8597 | 0.6067 | -0.3830 | -0.9150 | 0.9095 | -0.4662 | -0.1997 | -0.3900 | -0.3571 | 0.3763 | 0.1461 | -0.8773 | 2.1245 | -0.8953 | 0.2600 | -1.0837 | -0.0387 | -0.2728 | -0.1797 | -0.1437 | -1.4096 | -0.2938 | 0.3236 | 0.5756 | 0.2338 | -2.1376 | -0.7450 | 0.7094 | -0.7785 | 1.4092 | 0.5718 | -0.5690 | -1.5326 | 0.0378 | 1.2699 | 0.0765 | 0.8848 | -1.3642 | 0.8089 | -0.9619 | -0.8979 | -0.4141 | 0.2337 | -1.2403 | 1.2902 | 0.0774 | 0.4693 | -1.0145 | -0.1021 | -0.1928 | -1.4541 | -0.1352 | -0.1867 | -0.7253 | -0.0253 | 0.3313 | 0.6724 | 0.7414 | 1.1007 | 0.3270 | 1.5540 | -0.2102 | -1.1152 | 1.5506 | -0.1665 | 0.4258 | 0.9785 | 1.0869 | -1.6779 | 0.3313 | 0.9391 | -1.5533 | 1.2753 | 1.6659 | -1.0988 | 1.4170 | 0.8517 | -2.3826 | -0.4498 | 0.7490 | -0.4858 | -1.9975 | -0.2004 | 1.1840 | 0.4975 | 0.4880 | 0.7368 | 0.2039 | -1.1921 | -1.0551 | 2.0555 | 0.7555 | -1.0545 | 0.7634 | 0.1784 | -1.0009 | -0.9809 | -2.5309 | 0.4189 | -1.0871 | -0.7880 | -1.0719 | 0.0700 | 1.0243 | -2.1678 | 0.9449 | 2.9200 | -0.3065 | -2.2610 | -0.4724 | -1.1413 | 0.7217 | -0.3426 | 0.3073 | 0.1054 | 0.1224 | -0.6373 | 0.1703 | 1.2435 | 0.3938 | 0.0260 | 0.3689 | 1.3330 | 0.7264 | -0.3360 | -1.2730 | 1.1644 | 1.2794 | 0.1949 | -0.2137 | 1.0100 | -0.8672 | 1.1258 | 0.6691 | -0.6405 | 1.0194 | 0.1420 | -0.5330 | -0.4860 | 0.2647 | -0.1087 | 1.6197 | -0.6956 | 0.1917 | -0.2485 | 1.2703 | 0.2682 | 1.5094 | 2.0459 | 0.4269 | -1.4003 | 0.2658 | 0.3469 | 2.3081 | -1.2283 | -1.0550 | -0.7183 | 1.6306 | 0.1710 | 0.7666 | 0.2981 | -0.6260 | -0.3183 | -0.0227 | 0.9149 | -3.3825 | -1.3705 | 0.6729 | -0.0664 | -0.7257 | 0.5718 | 1.6718 | -0.5440 | 0.6141 | 0.1460 | 1.1469 | 0.0937 | -1.1121 | 0.8762 | -0.7060 | 1.1289 | -0.5643 | 0.2039 | -0.0504 | -0.6862 | -0.0720 | -0.3743 | 0.4221 | -1.2348 | 1.9565 | -0.3176 | 0.1827 | -0.4410 | -1.6678 | -0.1550 | 0.7648 | -0.3913 | -1.8798 | -0.6889 | -1.7114 | -0.5468 | -0.1647 | -0.7357 | 0.4498 | -0.2545 | -1.4691 | -1.5573 | 0.6462 | -0.7856 | -0.8354 | 1.8757 | 0.0540 | 0.5696 | -1.7648 | 0.6156 | 0.9163 | 1.8420 | -0.7262 | -1.4939 | -0.2740 | -0.3429 | -0.8316 | 0.3180 | 1.0559 | 0.2151 | 1.0026 | -0.6685 | -0.2690 | -0.0160 | 0.3317 | -0.2966 | -0.9469 | 0.8071 | -1.8912 | -0.4553 | -1.6743 | -0.7038 | -1.0358 | -1.5170 | 0.5658 | -2.2761 | -1.7921 | 0.1084 | 0.7468 | -0.3603 | -1.5985 | -0.2850 | -2.4749 | -0.5398 | -0.6854 | -0.0338 | 0.0620 | -1.0516 | 0.5148 | 0.6570 | 1.1656 | 0.5575 | -0.0082 | -1.3003 | -0.3439 | -1.1528 | -0.4673 | 0.3880 | -0.1620 | 1.1807 | 1.6746 | -0.1276 | 0.6314 | 0.8809 | 1.4718 | 0.1365 | -0.4064 | -0.8066 | 0.4056 | 2.1570 | 2.8780 | 0.0940 | 0.9783 | 1.0833 | 0.7306 | 0.4070 | -1.2772 | -0.1485 | 0.7845 | -0.7248 | -0.4513 | 0.1455 | -0.4806 | -0.4652 | -1.2003 | 0.8667 | -0.6511 | -0.7391 | -0.3042 | -0.3844 | -0.3328 | -0.9146 | -1.2067 | -2.1612 | 0.1649 | -0.8813 | 0.6067 | -0.6047 | -0.3708 | -0.0848 | 0.5897 | -0.1156 | 2.1494 | 0.1704 | -0.2441 | 1.3792 | -0.2024 | 1.4728 | 1.8660 | 0.2351 | -0.1489 | -0.1224 | 0.1347 | 0.5590 | 1.9624 | -1.4122 | 0.9175 | 0.7016 | -1.1657 | 1.7631 | 0.3133 | 0.7913 | -0.8244 | 1.7006 | -0.1495 | 0.9638 | 1.9052 | 0.5531 | -0.5763 | 1.6403 | 0.1704 | -0.1556 | 1.1500 | -2.0633 | -1.4688 | -0.2179 | -0.9686 | -2.0693 | -0.7736 | 0.7347 | 0.6356 | 0.6556 | -0.2873 | 0.5051 | -0.9208 | -0.4004 | 1.5903 | -2.5379 | -0.3546 | 0.1159 | 0.9740 | 1.7616 | -0.8313 | 0.3904 | -1.8221 | -0.0480 | 0.0643 | -1.1763 | -0.1583 | -0.3481 | 0.7739 | 0.2661 | 0.7089 | -0.0508 | -0.2994 | -0.2268 | -0.6130 | -0.9917 | 1.2774 | 0.5949 | 0.9224 | -0.2639 | 0.2852 | 0.6238 | -0.3245 | -1.0627 | 0.5924 | -1.7405 | 1.2822 | -0.2111 | 1.1892 | -0.9981 | -1.1192 | -0.1330 | 0.3406 | 1.5814 | -1.0008 | 1.1161 | -0.6609 | -0.7657 | 0.4267 | 0.1033 | -0.9551 | 1.6851 | -1.2291 | 1.0253 | 2.3583 | -0.1766 | -0.0942 | -1.1319 | -0.2950 | 0.8665 | 2.4199 | 0.2443 | 1.8806 | -0.3559 | 0.6644 | 1.7477 | -1.5433 | -0.7965 | 0.1790 | -0.7304 | 0.6708 | 0.5793 | -1.1279 | 0.3039 | 0.1321 | 0.1024 | 0.1920 | 0.6948 | -0.4030 | -0.1990 | 0.0368 | 0.7817 | 0.7960 | -0.5435 | -1.4828 | 0.2528 | 0.2117 | -0.5963 | 0.5187 | -0.3494 | -0.5872 | -1.9407 | -0.0087 | -0.7777 | 0.4144 | -0.8432 | -0.3413 | -0.7766 | -1.2352 | 0.9096 | -2.3697 | -1.5241 | 0.3104 | 0.9384 | 1.4882 | -1.6346 | 1.0894 | -1.2366 | -1.7733 | 0.3213 | -0.2865 | 0.8631 | 0.0410 | -0.4963 | -1.3302 | 0.3921 | -0.3408 | -0.1235 | 0.5632 | 0.4260 | -0.7783 | 1.2673 | -1.7619 | 1.1802 | -0.3171 | -1.1766 | -0.6936 | -0.7570 | 0.5457 | 0.2123 | 0.9896 | 0.0388 | 0.8751 | -0.1837 | -0.4821 | -1.1757 | 1.0614 | 0.3957 | 1.1260 | -0.4130 | 0.3016 | 0.7859 | 0.0283 | -0.3499 | -0.5954 | 0.1974 | 0.4589 | 1.0853 | -1.1370 | -0.6160 | -1.0386 | 0.4513 | -0.1205 | 0.5250 | -0.4509 | -1.0674 | -0.4075 | 0.7504 | -1.0958 | 1.5976 | 2.1213 | 1.3117 | -1.0355 | -0.0479 | -1.8040 | 0.3011 | -0.1108 | -0.6953 | -2.4422 | 0.9801 | 0.8634 | 0.2206 | 0.0865 | 0.1913 | 0.8464 | -1.1105 | -1.1245 | -0.1215 | 3.1930 | -0.3536 | -1.6602 | -0.3500 | 1.2673 | 0.4187 | 1.3252 | 0.4930 | -1.7458 | -1.0529 | -1.5704 | 1.7492 | -0.2407 | 0.0446 | 0.5275 | 0.0631 | -1.2079 | -0.8578 | -0.3648 | 2.0568 | 0.9561 | -0.3057 | 0.3203 | -1.1243 | 0.5131 | -1.0947 | 0.3695 | 1.0686 | 0.7539 | 1.1939 | 1.1922 | -0.4727 | 0.0564 | 0.0908 | 2.1357 | 0.1322 | 0.4571 | 1.0649 | -2.3957 | -1.2535 | -1.0655 | -0.4481 | 0.4830 | -0.0606 | 0.9652 | -2.1334 | -1.2017 | 2.2587 | -0.3262 | 1.0599 | -0.3477 | -0.1261 | -0.1199 | 0.8062 | 0.2110 | -0.8485 | -0.3205 | -0.3128 | -0.7571 | -0.8513 | -0.3301 | 0.2303 | 0.3655 | 0.4738 | 0.5332 | -0.6786 | 1.7465 | 0.0044 | -0.3858 | -1.3101 | -0.6300 | 0.1597 | -1.9358 | -0.3279 | -1.1079 | -0.3041 | 0.0457 | -0.1980 | 1.1661 | 1.8146 | 0.3797 | -1.6621 | -1.4202 | 0.3207 | 0.8467 | -0.3436 | 1.1543 | -0.6076 | 1.3446 | 0.5170 | -0.0318 | -0.5383 | -1.3148 | 0.6393 | 2.0722 | -0.4158 | 0.2561 | 0.3253 | 0.0053 | -0.7700 | 0.3732 | 0.1952 | -0.1882 | 0.0321 | -1.1627 | 1.0040 | -0.3999 | 0.2777 | 1.0733 | -0.3745 | 0.0193 | 0.3169 | -1.3265 | -0.2151 | 1.3562 | 0.3215 | -0.8272 | -0.4609 | 1.3097 | -0.1838 | -0.3802 | 0.5674 | -0.7188 | -3.3197 | -0.1607 | 0.2296 | -0.5359 | -0.2765 | 0.3998 | -0.2603 | 0.8869 | -0.5953 | 0.0616 | 0.4932 | -1.6013 | -0.6988 | 0.3780 | -0.4971 | -0.3270 | -0.9858 | 0.6034 | 1.3079 | -0.3954 | 0.4690 | -0.7635 | 0.2610 | 0.0018 | 0.1772 | 0.7861 | 0.5183 | -0.5534 | 1.1618 | -0.2350 | 0.4318 | -0.6886 | -0.8869 | -0.4020 | -0.9306 | 0.0751 | 0.5548 | 0.1261 | 0.0699 | -0.5680 | -0.1786 | 1.0544 | -0.9347 | 0.4251 | -0.5747 | -1.0004 | 0.1318 | 0.8645 | -0.3025 | 1.8141 | 1.2428 | -0.2981 | -1.5911 | 1.5741 | 0.3631 | -0.8009 | -0.3983 | 1.2427 | -2.4504 | 0.1680 | -1.3032 | 0.0219 | -0.9818 | -1.5044 | -1.0146 | -0.5315 | -0.7303 | 1.8150 | 1.7293 | 1.2188 | -0.3696 | 1.1651 | 0.1927 | 0.1390 | 0.8601 | -0.8036 | 0.3179 | 0.4779 | -1.1805 | -1.2224 | 0.0944 | -0.3616 | 0.5919 | 0.0950 | 0.9785 | -0.3105 | 0.1554 | -0.1766 | -0.8602 | 0.1189 | 0.6371 | 1.3412 | -2.0197 | -1.9830 | -0.4975 | 0.2654 | 0.7882 | -1.4636 | 1.1064 | 0.1906 | 0.0164 | 0.7414 | -0.1773 | 0.8985 | 0.3584 | 0.7171 | 1.5694 | -0.2571 | -0.8573 | 1.1488 | 0.1590 | 0.2495 | 1.0728 | 2.4841 | 0.8083 | -0.5257 | -1.0115 | -0.0372 | 0.6167 | -0.1027 | -0.2089 | -1.2175 | 1.4511 | 0.1500 | 0.2048 | 0.5196 | 0.7938 | 1.4501 | 0.8486 | 0.0820 | -0.5225 | -0.2521 | -0.5992 | -0.0001 | -0.8737 | -0.9752 | -1.0866 | -0.7643 | 1.3758 | -1.8995 | 0.0741 | -0.2279 | -0.7152 | 1.4691 | -0.2165 | 1.5033 | -0.1743 | 1.4204 | 2.1750 | -1.0279 | -1.3565 | -0.2206 | 0.8841 | 0.4244 | 1.0117 | 0.4464 | -1.3767 | -1.3394 | 0.3265 | -0.1320 | -0.4917 | -1.7052 | -0.7492 | -0.6740 | 0.7604 | 0.2303 | 0.0024 | 1.1694 | -2.4708 | 0.6117 | 0.7869 | -0.6667 | -0.7211 | -0.0798 | -0.1734 | 0.6582 | -0.6719 | -0.0467 | -1.0393 | 1.1314 | 1.0139 | 0.9051 | -0.9173 | -1.2152 | 1.2045 | -0.1988 | 0.4933 | -0.9908 | -0.1666 | -2.4708 | 1.0006 | -1.6598 | -0.8428 | -1.1327 | 0.0470 | 1.6261 | -0.9035 | -0.4699 | -0.8991 | 1.6245 | -1.0607 | -0.7635 | -0.2951 | -0.6046 | -0.2923 | -0.3994 | -0.4484 | -0.6279 | 1.3822 |
| 1 | 1 | 107 | 1 | 72 | 0.6153 | 958.1043 | 957.4890 | 0 | 0.5079 | 0.2754 | 0.0584 | 0.3264 | 1.6832 | 1.7177 | 0.8011 | -0.4439 | 0.4669 | -0.1702 | 0.3362 | -1.3471 | -1.0817 | -1.2187 | 1.5266 | -0.2983 | -0.6897 | -1.8357 | 0.4969 | -0.0724 | 0.7454 | 0.7393 | 0.2660 | -0.2342 | -0.6190 | -0.2167 | 0.5663 | 0.5940 | 1.4951 | 1.3492 | -0.9825 | 0.0528 | -0.9314 | -0.9050 | -0.3089 | 0.6781 | -1.6563 | -0.3873 | -0.9409 | -0.7494 | -0.6984 | -1.3666 | -0.4308 | -2.0754 | 0.1517 | -0.7928 | 0.0267 | 0.1746 | 0.3986 | -0.6952 | -1.8962 | -0.5613 | -0.5641 | -0.8621 | 0.6877 | -0.5583 | 0.9951 | 0.0665 | 0.7697 | 1.1550 | -2.2745 | 0.8490 | 1.3992 | -0.8546 | -0.5760 | -0.2374 | -0.4061 | -1.0347 | -1.2289 | -0.0715 | -2.0625 | -0.0604 | 1.3610 | -0.3160 | -0.3922 | 0.0927 | 0.9769 | -1.1030 | 0.9872 | 2.4926 | 1.5698 | -0.0804 | -0.7589 | 1.6645 | -1.3900 | -0.2271 | -2.2727 | 0.5487 | 1.5539 | -0.7302 | 0.2610 | -0.7352 | 1.3482 | -1.7568 | 0.5882 | 1.3798 | 1.1188 | -0.4791 | -0.7628 | 1.3750 | -0.1326 | 0.1552 | 1.2170 | 3.7207 | 1.6599 | -1.9619 | -1.0848 | -0.5783 | -0.5794 | -1.0908 | -1.3232 | -0.7152 | -1.4936 | -0.7370 | -0.1837 | 0.6829 | 0.0987 | -0.5104 | -1.3547 | -0.3714 | 0.6007 | 0.1618 | -0.0100 | -1.3502 | -0.6414 | -0.2229 | -1.4944 | -1.8045 | 0.4691 | -0.7597 | -0.4916 | 0.3590 | -0.0513 | 1.7029 | 0.3936 | -0.5506 | 0.4512 | 0.6600 | 0.0777 | -0.3735 | -0.5251 | -0.0284 | 0.0799 | 1.0787 | 0.6106 | -0.6265 | -1.1428 | -0.8236 | 1.8290 | 0.1472 | -0.2072 | -2.4918 | 1.6428 | 0.1333 | 1.1196 | 0.2267 | 0.1690 | 0.6210 | 0.5890 | 0.5648 | -1.7489 | 1.1109 | 0.5516 | -0.9411 | 0.1082 | -1.4535 | -1.3743 | -1.5963 | 0.1873 | -1.1325 | 0.3957 | -0.3320 | 0.1529 | -1.1762 | -1.1436 | 1.2405 | -0.1040 | -0.8173 | 1.5657 | 0.7247 | 2.3769 | 0.6644 | -1.3152 | -0.6335 | 0.6102 | 2.3519 | -1.9697 | -0.4210 | -0.2606 | 0.3641 | 0.5548 | -1.3999 | 1.2592 | 0.7314 | 0.5322 | 0.6138 | -0.4199 | 1.7379 | 1.5552 | 1.4697 | 0.0759 | 0.2789 | 0.6477 | -1.9369 | 0.6937 | -0.1122 | -0.1496 | -0.1684 | 0.4873 | 0.7024 | -2.2784 | -0.2841 | -0.8682 | -0.0728 | -1.1961 | 0.8454 | 0.6759 | -0.5976 | -1.0334 | -0.0946 | -1.1095 | 0.2913 | -1.3368 | 0.2515 | 0.6215 | -0.2075 | -1.5213 | 0.9074 | -1.4872 | 0.5410 | -0.3362 | -1.9101 | -0.1138 | 0.0595 | -1.0530 | 0.9348 | -0.1563 | 0.3178 | 1.2288 | -1.5414 | 0.1406 | -0.0850 | -0.3192 | -0.6659 | 1.6761 | 0.0498 | 1.2283 | 1.1284 | 0.5459 | 1.7392 | 1.4846 | 0.7646 | -0.6245 | 0.4999 | -0.4715 | -1.0452 | 0.6365 | 0.3056 | -1.4931 | 1.5487 | 0.4172 | 2.0866 | 2.6127 | -1.1342 | 0.8593 | -2.5021 | -0.9003 | 0.1097 | -0.4607 | 0.5767 | -0.5281 | 1.6003 | 1.3770 | -1.9293 | -1.3203 | -0.3213 | -1.2787 | -1.6813 | -0.9275 | 1.0231 | -2.2517 | -0.9055 | -0.0230 | -1.2009 | 1.3388 | 1.4403 | 0.2125 | -0.3817 | -1.0799 | -0.3081 | -0.1123 | 0.3334 | 1.1081 | -0.0258 | 0.9747 | 0.4107 | 0.5847 | -0.3220 | 0.1234 | 1.9146 | -0.6272 | -0.6584 | 0.1996 | -1.0091 | 0.8364 | -0.8426 | 1.0620 | 0.8426 | -2.2721 | -0.3896 | 1.3112 | -1.2172 | 0.5040 | -1.1648 | -1.2412 | -1.3041 | -0.2258 | 0.6951 | -0.1326 | 0.2603 | 0.5313 | -1.2968 | -1.1123 | -0.9537 | 1.4648 | 0.2908 | 0.3788 | -0.0044 | 0.3532 | 0.1478 | 1.0632 | 1.6414 | -0.0189 | -1.1109 | 0.0846 | -1.0786 | -0.4895 | -0.5589 | 1.0921 | 0.6391 | -0.6031 | -0.7616 | 1.3162 | 0.5654 | -1.0727 | -0.2814 | 0.9203 | -1.4699 | 0.7357 | 0.4500 | 0.2059 | 0.1309 | 0.5049 | -0.8468 | -0.1619 | 1.3127 | -1.5573 | -1.6660 | -0.3079 | -0.2482 | 0.9212 | 1.3466 | 1.8676 | 1.3101 | 0.9020 | 0.2590 | -0.5856 | -0.1006 | 0.6193 | 1.3839 | -0.0565 | 1.2776 | -0.5994 | -3.2681 | 0.6003 | 0.1146 | -1.7416 | -0.1228 | -0.6214 | 0.6918 | -0.3975 | 0.2386 | 0.1975 | -1.9178 | -0.2834 | 0.4614 | 0.4781 | -1.0583 | -0.2479 | 0.5040 | -0.6977 | -0.3377 | -0.5967 | 0.2611 | -0.3450 | 0.7054 | 0.5637 | 0.9625 | 1.5289 | -0.1629 | 0.3362 | -0.8132 | -0.5975 | 0.1099 | 1.4002 | -0.4495 | -0.1280 | 0.0121 | 0.6783 | -0.9443 | 0.4774 | -0.4869 | -1.1924 | 1.3662 | -1.6004 | -1.2121 | -0.2519 | -1.5674 | 0.7386 | -1.0886 | -1.3042 | 1.1156 | 0.8942 | -0.3445 | -1.5856 | 0.1843 | 0.2219 | 0.0045 | -0.7116 | -1.8483 | -1.3984 | -0.9165 | -1.3356 | -1.4503 | -0.5839 | 1.7106 | -1.3473 | -0.2395 | -0.3672 | -2.4183 | -0.6583 | 0.4229 | 1.7111 | -1.6713 | -0.0285 | -0.3517 | 0.1991 | -0.5309 | 1.0337 | 0.8301 | 0.5406 | -2.0315 | -1.3027 | 0.9197 | -0.4034 | 2.4258 | 0.5642 | -1.1442 | 0.0025 | 2.8263 | -0.7807 | 1.4050 | 0.1693 | -0.7691 | -0.2451 | 0.5515 | 1.4046 | -0.2683 | 0.4207 | 0.9718 | 1.3173 | -0.3456 | 0.6809 | -0.3489 | 0.3843 | -0.6477 | -0.9164 | -0.0914 | -1.2057 | 0.2749 | -0.0909 | 0.0695 | -1.5997 | 0.3025 | -0.2991 | -0.7305 | -0.7759 | -0.1595 | -1.3087 | 1.0993 | -2.0695 | 1.5686 | 0.8736 | 0.2916 | -2.8816 | -0.6232 | 0.1420 | -1.4460 | 0.1494 | -1.7316 | -0.1892 | 1.1023 | -1.3697 | 0.8663 | -0.1464 | 0.4438 | -0.3847 | -0.5322 | -2.1562 | -0.9011 | -0.1464 | -1.0450 | 0.5916 | -0.2921 | -1.3320 | 0.1322 | -1.7139 | 0.2559 | 1.7331 | 0.7012 | 0.6945 | -0.1698 | -1.0859 | 0.0748 | 0.7881 | 0.0729 | -1.5010 | 0.4805 | -1.5511 | 0.0785 | -0.7976 | -0.2393 | 1.1989 | 0.5417 | 1.4085 | -0.1560 | 0.4356 | 0.6503 | -1.1150 | -0.8839 | 0.3525 | -1.0022 | -0.2331 | -1.1254 | -1.8044 | -0.1121 | -0.3431 | 1.5707 | 1.3973 | -0.6325 | -1.1643 | -1.3137 | -0.0677 | 1.0600 | -0.0691 | 1.4925 | 0.5063 | -0.4454 | 1.3649 | -1.7960 | 0.5679 | 0.4399 | -0.2794 | 0.0119 | -0.5622 | -0.0392 | 0.6236 | -0.4759 | 0.2292 | -0.1577 | 0.6870 | -0.2589 | -0.2304 | 1.6645 | -0.3565 | 0.0930 | 1.0389 | -0.3437 | 0.8870 | -1.8620 | -0.1485 | 1.3896 | 0.4582 | 1.4947 | 1.0986 | 0.9550 | 1.1136 | -1.1674 | -0.4359 | -1.2660 | -0.3918 | -0.6071 | -0.7901 | 0.0715 | 0.0717 | -0.6701 | -0.3725 | 0.4545 | 0.1617 | 1.8287 | 2.1168 | 1.9603 | 0.9404 | 0.3797 | 0.6062 | 0.1734 | -0.9686 | 0.6735 | -1.1036 | 1.4606 | 0.8514 | -1.7824 | -1.6210 | 0.8383 | 0.7002 | 2.3553 | 0.2380 | 0.4989 | 1.2987 | -0.5250 | 0.4530 | -1.2841 | -0.3684 | 0.7269 | 3.4926 | 1.1727 | 1.1118 | 1.4295 | -0.6022 | 0.4106 | -1.4530 | -1.4753 | 2.2742 | -1.1490 | 0.6272 | -0.4124 | -0.1105 | -0.0669 | 0.2785 | -0.2537 | 0.5211 | 0.2654 | 0.3130 | 0.5053 | 0.7289 | -1.9443 | -1.5188 | -0.2270 | -0.4372 | -0.7767 | 1.6156 | -0.2983 | 0.8839 | 1.5226 | -1.0085 | 0.4701 | -0.8976 | -0.8527 | 0.0860 | 2.3327 | -0.5539 | -0.8997 | -0.8137 | 0.3962 | -0.2878 | -0.4677 | 0.6330 | -1.0275 | -1.9912 | 0.2229 | -1.3779 | 1.4417 | 1.9249 | -0.9885 | -1.5916 | 0.7622 | -0.7067 | -0.5563 | 1.1341 | 1.6529 | -0.6923 | 0.3312 | -0.7311 | -2.0098 | -0.1110 | -1.2486 | 0.1441 | 0.0078 | 0.0620 | -0.6463 | -0.8372 | -0.2554 | -1.2153 | 0.7781 | -0.2821 | -0.5987 | -0.5844 | 0.6592 | 1.3144 | -1.8242 | 0.3426 | -1.1182 | 1.1272 | -1.0648 | -0.9260 | 0.9863 | -1.6541 | -0.6003 | -0.5811 | -1.0088 | -1.3046 | -0.9013 | -0.2364 | 2.4348 | 1.0089 | -0.5145 | -0.9076 | -0.9987 | -0.1945 | 0.4408 | 1.6318 | -1.8318 | -0.2201 | 0.2550 | 1.4400 | -1.1250 | -0.8699 | 1.1875 | -0.1337 | -0.8662 | 0.4018 | -0.4371 | 1.2311 | 0.0879 | -0.2727 | -0.3849 | 1.3622 | -0.4587 | -0.8637 | 0.0967 | 0.3083 | 0.6856 | 0.5728 | -1.3901 | 0.1075 | 0.1756 | 2.2023 | -1.2571 | -0.7768 | -0.5160 | -0.4409 | -0.6628 | 1.0935 | -1.0107 | 1.1092 | -0.5167 | -0.0595 | 0.3872 | 1.0174 | 0.0495 | -1.3002 | 0.8081 | 0.6443 | 0.3795 | 1.9539 | -0.5634 | 1.0307 | -0.6694 | -0.7850 | 0.8454 | 0.4916 | -0.5634 | 1.1879 | 1.0438 | 1.1889 | 0.4979 | -2.3691 | 0.1886 | -0.7121 | 1.5803 | -0.9151 | 1.2538 | 1.6380 | -0.7752 | -1.3245 | 0.8300 | 0.0149 | 0.2771 | -1.6632 | 1.4433 | 0.4565 | -0.4309 | 0.8246 | 0.0169 | 0.9544 | 0.5615 | -0.3133 | 0.4919 | 2.6780 | 0.4089 | -0.4369 | 1.7553 | 0.3297 | 0.3035 | 0.8161 | 0.7929 | 0.7584 | 0.1529 | 1.8894 | -0.9424 | -0.7417 | 1.0484 | 0.9610 | 0.4351 | -0.2573 | 0.9341 | 1.3482 | 1.1921 | -0.7734 | 0.2019 | 0.2275 | 0.4831 | 0.6451 | -0.9032 | -1.4830 | 0.6415 | 2.8312 | -0.1766 | -1.2956 | 0.8979 | -1.1315 | -0.0663 | 0.0471 | -1.0736 | -1.4968 | 0.8894 | -0.0409 | 1.0767 | 0.0909 | -0.7792 | 0.0453 | 0.9101 | 0.0325 | 0.8754 | 0.3980 | -1.3997 | 2.1611 | -1.0779 | 0.3623 | -0.1735 | 0.9956 | 0.5284 | 1.7425 | 0.7652 | -0.0319 | 0.4562 | -0.8332 | -1.8962 | -1.6648 | 1.7616 | 0.6261 | -0.5461 | 1.9242 | -0.9286 | 1.3326 | -1.1873 | 2.4158 | -0.3434 | 0.3199 | -0.5970 | 0.3310 | 0.6801 | 0.4945 | -0.3143 | -0.0549 | 0.1886 | -0.8441 | -0.5161 | -1.0716 | -0.9129 | -1.2969 | -0.9951 | 0.7051 | 0.1617 | 0.8610 | 0.8514 | 1.4787 | 0.4767 | -0.9246 | 0.8356 | 1.4789 | 0.1673 | -1.5765 | 0.5707 | -0.5195 | 0.8358 | 1.3729 | -1.5942 | -0.7421 | -0.9680 | 0.3101 | -0.3962 | -0.4358 | -0.8601 | -1.0561 | -0.9055 | -0.6453 | 0.1065 | 2.3885 | -0.7569 | -0.1263 | 0.3587 | -0.5923 | -2.0465 | 0.7713 | -0.3555 | 0.0570 | 0.1274 | 0.3943 | -0.9143 | -0.9373 | 0.6434 | -1.2392 | 0.7823 | 0.2847 | 0.3615 | -1.5655 | 0.0552 | -1.0920 | 0.1096 | 0.4235 | -1.0921 | 1.3551 | -0.5000 | 0.5515 | 1.4001 | 0.6282 | -0.6384 | -0.5489 | -1.2493 | -2.0563 | -0.5928 | -0.0184 | 1.6811 | 1.6707 | 0.5183 | 1.4863 | -0.2802 | 1.2947 | 1.2199 | 1.1091 | 0.7525 | 0.2777 | 0.1243 | 1.0825 | 0.0087 | -0.4007 | 1.4348 | 1.3470 | 0.2977 | 0.7514 | -1.9596 | 0.7175 | -0.7202 | -0.0999 | 0.7485 | 1.1263 | 0.9627 | 0.6093 | -0.7512 | 1.4274 | -0.1481 | -1.0292 | 0.5815 | -0.2486 | -0.1490 | -0.1210 | -2.3093 | -0.2920 | -0.2219 | -0.2874 | 0.6150 | 0.3192 | 0.9862 | 0.4619 | -0.4461 | 0.5022 | 0.5892 | 0.0511 | -1.1636 | -1.1084 | 0.7097 | 0.5942 | 1.2630 | 0.6248 | 1.1929 | -1.7056 | -0.4886 | 0.3534 | -0.1548 | -0.0726 | 0.1300 | -0.6687 | -0.0261 | 0.5851 | 0.2711 | 0.2244 | -0.6301 | -0.0748 | 0.3820 | -0.0796 | 1.8779 | 1.4320 | -0.4118 | 0.7098 | 0.0562 | -0.9172 | -1.3620 | -3.0050 | 0.3389 | 1.0638 | 0.1468 | 0.9615 | -0.8080 | 1.6057 | -0.6285 | 0.7514 | 0.0730 | -0.0519 | -1.1347 | 1.2473 | -0.7338 | -0.1262 | 1.4114 | -1.2473 | -0.8754 | -1.7802 | 0.7776 | -1.2454 | 0.8520 | 0.6746 | -0.3617 | 1.0559 | -1.6170 | 0.3623 | -0.3146 | 0.8914 | 0.6026 | -0.0760 | 0.4901 | -1.0507 | 0.6308 | 0.2161 | 1.9306 | 2.4473 | 0.2472 | 0.5846 | 2.1584 | 0.4227 | 0.4444 | -0.9668 | -0.7375 | 0.2174 | -1.8667 | 0.9609 | 0.9905 | -0.8797 | -0.1499 | 1.4104 | -0.8289 | 1.9333 | 1.0197 | -2.6037 | -0.4504 | -1.0549 | 0.5131 | -0.4239 | 0.7166 | 1.2838 | 0.4929 | 0.5888 | -1.7225 | 0.1712 | 1.2821 | -0.8822 | 0.5583 | 2.5556 | 0.7443 | 3.3731 | -0.2283 | 1.3424 | -0.9414 | 0.6694 | 0.3797 | 0.3856 | 0.3190 | -0.6362 | -1.1883 | -2.5818 | -0.2516 | 0.2005 | 0.0174 | -0.0205 | 0.5528 | 0.2129 | -0.4007 | 0.3470 | 0.7979 | 1.8856 | 0.6474 | -0.4529 | 0.9483 | 0.1562 | -1.0559 | -0.3779 | 0.9974 | -1.4236 | -0.4857 | -0.4748 | -0.6017 | 1.3661 | -2.2262 | -0.0407 | 0.3851 | -1.8108 | 0.1416 | 0.0179 | 0.0824 | -0.5986 | 0.9577 | 0.3915 | 0.1397 | 0.8318 | -0.2469 | 0.1370 | 0.4136 | -0.2265 | -0.2740 | -0.8421 | 1.1075 | 0.9222 | 0.2055 | -0.4575 | -0.0151 | -0.6535 | -0.7353 | -0.5014 | 0.9738 | -0.4631 | 1.6533 | 0.7739 | -0.7043 | -0.3614 | 0.7794 | -1.1812 | 0.5404 | 1.1536 | -2.7472 | 0.2352 | 1.4358 | -1.1895 | 0.3092 | 0.9228 | 2.4016 | 2.1862 | -0.5233 | 0.8091 | -0.8686 | 0.6575 | -0.8699 | -0.6402 | -1.6124 | 0.7282 | 1.9854 | 0.9254 | 0.3360 | -0.8083 | -1.3438 | -1.0608 | 0.6088 | -0.7401 | 0.1243 | -1.7605 | 1.4844 | 0.9772 | -0.2966 | -0.7702 | 1.2058 | -0.2647 | -0.0007 | 0.6886 | -0.0244 | 0.4346 | -0.2340 | -0.3895 | 0.5537 | -0.2353 | 0.5042 | -1.2246 | -1.2370 | -0.4827 | -0.4912 | 0.3967 | -1.3772 | 2.3009 | 0.9596 | -1.2339 | 1.3460 | 0.2910 | -0.0945 | 0.4070 | 0.3095 | -0.5087 | 0.6431 | 0.1002 | -0.2058 | 0.1566 | -1.5959 | 0.7835 | 0.2159 | 0.3898 | -0.2737 | 0.0044 | 0.9724 | -0.9311 | -1.1472 | 0.2239 | 0.0261 | -0.7801 | -0.5349 | 0.1067 | 0.1674 | 0.7273 | -0.0741 | 0.9604 | -0.2101 | -0.1942 | -1.3911 | -0.0516 | -0.1236 | -0.3995 | -1.0126 | -1.5041 | -0.2358 | -1.5884 | -1.1395 | 1.0977 | 1.1190 | -0.1902 | -0.7755 | -0.7891 | 0.0775 | -0.3833 | 0.2377 | -0.1053 | -0.6173 | 1.9697 | -1.1078 | 0.9448 | -0.6203 | 0.9736 | -0.2170 | -0.5004 | -0.2790 | -1.1131 | -0.2303 | -0.2409 | 0.1656 | 0.5128 | -0.3615 | 0.5512 | 1.3905 | -0.5614 | -1.5139 | -0.2432 | 0.4856 | -0.5040 | 0.6223 | 0.3980 | -0.1899 | -0.0138 | -0.1324 | 0.4039 | -0.5281 | -0.5471 | -1.3490 | -0.1258 | 1.1710 | 1.0379 | -0.1072 | -0.1827 | -1.2330 | -1.9833 | 0.2855 | -0.2852 | -0.3475 | 0.0366 | -0.4443 | 0.4550 | -0.4802 | 2.0338 | -0.9183 | 0.6306 | 0.4782 | 0.0815 | 0.0654 | 0.1337 | -0.3112 | -0.7243 | 0.8292 | -2.1951 | -0.4124 | 0.4814 | -0.3279 | -0.9121 | -0.6662 | -1.8430 | 2.2725 | 1.1087 | 0.2454 | -0.2176 | -0.5147 | -0.6197 | -1.2590 | 0.3175 | -0.7765 | -1.0927 | -2.4998 | 0.4060 | 1.2929 | 0.7770 | -2.0235 | 2.5725 | 0.7632 | 1.2785 | -0.3370 | 2.0421 | -0.6979 | -0.2578 | -0.1909 | -0.7487 | 0.2308 | -0.5724 | -0.4593 | -0.3612 | 1.2662 | 0.1767 | -0.2953 | -0.1890 | 0.1059 | 0.2598 | -0.3817 | -0.5600 | 1.0939 | -0.4269 | 0.7939 | 1.4873 | -1.6224 | -1.2683 | -0.7914 | -1.3146 | 0.7106 | 0.3056 | -0.2282 | -0.5727 | -0.3705 | 0.7714 | -0.5835 | -0.5641 | -0.9857 | 0.7415 | 0.1843 | 0.2754 | -0.1405 | 0.3586 | -1.1556 | 0.5615 | -0.3483 | -1.3214 | -0.4401 | -0.1618 | -0.3618 | -0.0297 | -0.7152 | 2.1393 | -0.3392 | -0.6124 | -1.6837 | -0.8011 | -1.7188 | 0.3368 | -0.2153 | 0.6021 | -0.7903 | 0.7702 | -0.4311 | 0.7741 | 0.3434 | 1.1191 | -2.4189 | 0.4894 | 0.3794 | -1.6551 | 1.4686 | 0.6450 | 0.1736 | 0.6901 | 1.1509 | 0.9053 | 0.4220 | 0.4984 | 0.9143 | 0.4514 | 0.1107 | -0.1739 | -0.6085 | -0.5478 | 0.1193 | 1.5495 | -0.7979 | 0.4883 | -0.5316 | -1.3620 | 1.1966 | -2.4655 | 0.3191 | 0.2868 | -0.6558 | -0.4667 | 1.5888 | 0.3088 | 0.5807 | 0.6380 | 2.4490 | -2.0784 | -0.4423 | 1.2217 | 0.3386 | -1.4338 | 1.2373 | 1.6243 | -0.3688 | -0.2801 | 0.2454 | -1.5454 | 2.1759 | 0.5601 | 0.1728 | 0.5428 | -0.0808 | -2.1929 | 0.6475 | 0.1273 | 0.8719 | 1.5904 | 0.4995 | -1.5177 | 0.2468 | 0.5676 | -0.2826 | -0.2714 | -0.0216 | -1.9661 | -1.6251 | -0.4172 | 1.3588 | 0.2842 | -1.4823 | 1.4222 | 0.9542 | 0.2404 | 0.5207 | 1.2299 | -0.6876 | -1.1750 | 0.4446 | 1.8677 | -1.7944 | 0.8669 | 1.5785 | 0.5206 | 1.0396 | -0.4734 | 1.0504 | -0.9297 | -1.5990 | 0.0506 | 0.5914 | -0.2911 | 0.5353 | -0.3292 | -0.2686 | -0.2171 | -0.0090 | 0.0940 | -0.9468 | 0.1909 | 0.2547 | -0.3279 | -1.6650 | 0.7918 | -0.8137 | 1.6126 | -0.8631 | 1.1885 | 0.2593 | 0.0328 | -0.2058 | -0.0236 | -0.2951 | -1.8018 | 1.9935 | -0.8796 | 0.9204 | 1.0169 | 0.0211 | 0.6810 | 1.3321 | -2.2450 | 0.3482 | -1.7487 | 1.6801 | 0.5110 | -0.5027 | -1.1985 | -0.8250 | 2.2114 | -0.0322 | -2.3551 | 0.5474 | -1.0082 | -0.0461 | 1.4343 | -0.4577 | -0.5994 | -0.2540 |
| 1 | 1 | 42 | 1 | 99 | 0.4476 | 747.8384 | 747.3909 | 0 | 0.5354 | -1.5570 | 1.0475 | -1.1503 | 0.7633 | 0.9651 | -0.3714 | 0.1611 | -0.9515 | 2.4649 | 1.6615 | -0.9651 | -0.5225 | 0.3275 | -0.2616 | -1.5877 | 1.1734 | -0.1550 | 0.1037 | 1.3490 | 0.1008 | -1.1479 | 0.6075 | -0.4781 | -0.0277 | 0.7354 | -0.2683 | 0.3886 | -0.4454 | 0.3314 | 0.5720 | 1.7973 | -0.6503 | -1.2612 | -1.1834 | -1.7879 | -0.0236 | 1.3622 | 0.1364 | -0.8769 | -0.5450 | -0.4506 | 2.0553 | -0.3440 | -0.5305 | -0.2255 | -1.2884 | 1.3152 | 0.5398 | 0.7725 | -0.7918 | -1.7238 | 1.0151 | -1.1641 | -0.6871 | -0.6940 | -0.5842 | 2.1845 | -0.3673 | -2.7034 | 0.9417 | 0.3503 | 1.0120 | 0.0651 | -0.8717 | -0.4038 | -0.5407 | 0.1486 | 1.3347 | -0.2114 | -0.3466 | 0.5968 | 1.2165 | -1.3031 | 0.8272 | -1.9109 | -0.3140 | -1.3700 | 0.7783 | -1.4697 | -1.1875 | -1.2517 | -0.6142 | 0.8283 | -0.5976 | 2.3070 | -1.6378 | -0.5161 | -1.2603 | -1.6890 | -1.2016 | 0.5459 | -0.3508 | 0.4966 | 1.8522 | -0.8787 | -1.2650 | 0.9606 | -0.6249 | 2.2037 | 0.1585 | -1.0516 | 1.7863 | -0.6590 | 0.1568 | 0.2980 | -0.3463 | 0.8526 | -0.5355 | -1.0433 | -0.0606 | -1.7794 | 0.3400 | 0.7540 | -0.5312 | 0.1064 | -0.3610 | 0.0150 | 0.9080 | -1.0046 | 0.8450 | -2.3205 | -0.6628 | 0.8385 | -0.2384 | 0.9565 | -1.0017 | -1.7218 | 1.1618 | 0.2455 | -1.7846 | -1.0580 | 0.5127 | 0.0687 | 1.0029 | 1.4198 | -0.3822 | -0.8624 | 0.6187 | 0.8550 | -0.6198 | 0.0368 | 1.2364 | -1.2444 | 0.6065 | 0.3650 | -0.5971 | -0.8340 | 1.1904 | 1.3609 | -0.0071 | 0.1023 | 0.6321 | 0.4140 | -1.3707 | -0.5436 | -0.4002 | -0.7071 | 0.8813 | -2.8386 | 0.0930 | -0.2863 | -0.2210 | 1.1188 | 0.8235 | 1.1473 | -0.9129 | -0.4924 | -1.5641 | 0.4333 | 2.0205 | -1.2967 | -0.7889 | -2.1278 | -1.3733 | -1.1056 | -0.7171 | -1.0044 | -0.3783 | 1.9520 | 1.2767 | -0.2804 | -0.1998 | 0.7460 | -0.3717 | 0.2252 | 1.0016 | 1.4011 | 0.2677 | -1.1511 | -0.7256 | 0.7670 | 1.2882 | 0.5553 | 0.5841 | 0.6013 | 0.7094 | 0.6928 | -0.5428 | -0.6472 | -0.0641 | 1.1659 | -2.1386 | -0.3514 | -0.4128 | -0.5926 | -0.8332 | -0.6422 | 2.0211 | 1.4904 | -0.6955 | -0.2024 | 0.7956 | 0.4779 | -0.9116 | 1.0386 | -0.2925 | -1.0424 | -1.3614 | -0.4747 | 0.5658 | -0.5823 | 0.6435 | -0.1225 | 0.4325 | 0.6037 | -0.4907 | -0.8258 | -0.5674 | 0.0016 | 0.3737 | 1.1201 | -3.3559 | 1.5050 | 0.2578 | -0.0364 | -0.5215 | 0.2717 | -0.0765 | 1.6269 | -1.7502 | 0.7030 | 0.5434 | -1.0114 | -0.7878 | -0.6357 | 0.3049 | -0.6975 | 0.5256 | 0.5982 | 0.3099 | 0.1624 | 1.0407 | -0.0220 | -0.9961 | -0.0141 | 1.7531 | 0.4136 | 0.9151 | -0.3387 | 0.2314 | -0.8936 | 1.4658 | 1.5483 | 0.0029 | -0.1163 | -0.9516 | -1.5376 | 1.0812 | 1.3025 | -0.8809 | -0.0102 | 0.6902 | -0.4180 | -1.0480 | 0.2950 | 1.5419 | -0.1563 | 1.2885 | 0.1525 | -0.2900 | -0.2768 | -0.2513 | 0.5424 | -0.4836 | 0.3958 | 1.2476 | -0.7534 | 0.1014 | 0.8869 | 1.1952 | -0.2828 | -0.8681 | -0.1216 | -0.8636 | -0.8453 | 0.7762 | 0.7682 | 1.0997 | -0.0420 | 0.5977 | 0.4385 | -0.2619 | 0.9707 | -0.3244 | -0.7528 | -1.1117 | -0.8382 | 0.5329 | 0.5396 | -0.1196 | 0.1479 | -0.9379 | -0.0935 | 0.5811 | 0.6303 | 0.2267 | -1.0116 | 1.5618 | -0.3470 | 1.1107 | 0.0756 | -0.0230 | 0.3472 | -0.7504 | -0.1173 | 0.4009 | -0.0146 | -0.9835 | 1.2940 | 1.2450 | -1.3319 | -0.9366 | 0.2339 | -0.0852 | -0.0050 | 1.0089 | -1.4361 | -1.0201 | 0.5338 | 1.7985 | 0.4956 | -0.2337 | -1.6076 | 0.6563 | 2.0265 | 2.8147 | 0.0589 | 1.7285 | 2.4764 | -0.0908 | 0.4553 | -0.9503 | -0.7666 | 1.4221 | -1.1439 | 1.6274 | 0.4480 | -0.9963 | 0.2100 | -0.1257 | 2.3116 | 0.3813 | 0.6357 | 0.1896 | -0.0749 | 2.7701 | -1.4078 | 1.7244 | -1.0669 | 2.1096 | 1.5989 | -0.1034 | 1.0248 | -0.5342 | -1.3137 | -0.4602 | 0.1812 | -0.3379 | 1.0207 | 0.5089 | -0.3177 | -0.7446 | -0.9303 | 0.7428 | -0.8531 | -1.0836 | -0.4996 | -0.7903 | 0.0298 | -1.9744 | -0.7061 | -0.4169 | -0.1696 | -0.4953 | -0.0188 | 0.5452 | -0.7000 | -0.8073 | 1.0477 | -0.7662 | -0.2256 | 1.3305 | 0.3610 | 1.5105 | -1.0301 | -0.3190 | 1.1826 | 0.6157 | 0.6687 | 0.4324 | -0.5551 | -2.0930 | -0.2674 | -1.9342 | 0.0207 | -0.5756 | -0.8365 | -0.1928 | 1.5394 | 0.4387 | 0.4261 | -0.2514 | 0.6345 | 0.3822 | 0.6054 | 0.7518 | 0.1799 | -0.8126 | -0.7794 | 0.9625 | -1.4862 | 2.1670 | -2.1780 | 2.0613 | 0.2017 | -0.6358 | 0.0550 | 0.3573 | 0.6054 | -1.8505 | -0.8145 | 1.2576 | -0.1725 | 1.1855 | 0.6372 | -0.7028 | -0.8250 | -1.2625 | -0.8286 | -1.2872 | -0.1405 | 1.0823 | 0.8916 | 0.2130 | 1.2787 | 1.3083 | -0.7575 | -3.0356 | 0.3191 | -0.6978 | -0.0068 | -0.8717 | 0.8813 | -0.2863 | -0.6132 | 1.2514 | 1.3000 | -0.1415 | -1.4014 | -1.0575 | 0.0067 | -0.5872 | 1.0214 | 0.9479 | -1.4459 | -0.8120 | -0.9123 | -0.1029 | 0.0569 | 1.7427 | 0.1502 | -1.1939 | 0.1741 | -0.5843 | -1.2878 | -0.8050 | -1.1098 | 0.8729 | 0.7563 | -0.4887 | -1.0949 | -0.2415 | 0.2989 | -0.6291 | 0.2172 | 0.4363 | -0.3312 | -0.8639 | -0.5132 | -0.7539 | -2.2761 | -0.8398 | 0.6259 | 0.0753 | 0.7438 | -1.6401 | -0.1917 | -0.1857 | -0.5754 | 1.0241 | 0.9969 | 0.6935 | 0.4137 | -0.1470 | -0.2558 | -1.4131 | -0.7944 | 0.3004 | -1.0589 | 0.1678 | -1.5461 | -1.0562 | 0.6951 | 0.3508 | 0.0589 | -0.8199 | 0.3067 | -1.7127 | -0.9716 | -1.1745 | -0.1518 | -0.8860 | 0.9280 | -0.4396 | 1.6229 | 1.3906 | 0.0547 | -0.0892 | 0.7166 | -1.1121 | 1.2277 | 2.5368 | -1.0912 | 0.5912 | -1.7010 | -0.6809 | -0.1014 | -1.0849 | 0.3839 | 0.7770 | 0.2459 | -0.1446 | -0.2891 | 0.4593 | -1.2912 | -1.0192 | 0.2011 | -0.8757 | -0.7468 | 0.0119 | -0.5215 | -0.3854 | -0.9511 | -1.9103 | -0.2024 | -0.0972 | 1.3078 | 0.8829 | 1.6975 | -1.0545 | 1.2982 | -0.5906 | 0.1455 | -0.3836 | -0.9478 | -1.5277 | 0.4858 | 1.3961 | -0.7629 | -0.2756 | 1.4175 | -1.2453 | 0.5066 | -1.8284 | -0.9940 | -0.8841 | -0.7381 | 0.3107 | -0.5198 | 0.6783 | 0.9746 | 0.1600 | -0.8206 | -0.1143 | 0.6525 | -0.3633 | -0.6110 | -1.7332 | 0.2493 | -0.5850 | 1.2158 | 0.2678 | -0.9320 | 0.8648 | 1.4266 | -0.3822 | 0.9121 | 0.5988 | -1.1245 | -0.4303 | 0.8073 | 1.5211 | -0.2467 | 0.6245 | 0.5716 | 0.0692 | -0.8579 | -1.2079 | -0.1319 | 1.6204 | 1.7890 | 1.0190 | 0.4315 | 1.1343 | 0.5120 | -1.2485 | 0.0300 | -0.1747 | 1.0976 | -0.6618 | -1.1524 | -1.4674 | -0.1409 | 0.9486 | -1.0359 | -1.1279 | -0.1353 | 1.0003 | 1.2163 | 1.7244 | 0.5494 | 0.2043 | 0.9705 | -0.3681 | 0.9857 | 0.6700 | 0.1183 | 1.4814 | 1.8847 | 0.0467 | -0.5567 | 1.7327 | 1.1104 | -0.0401 | -0.4506 | -0.1990 | 1.3755 | -0.6437 | -1.1099 | 1.3457 | -0.0503 | 0.3792 | -1.1568 | 0.3465 | 0.2567 | 0.8755 | 1.7252 | 1.6662 | 1.0904 | 0.5093 | -0.3961 | -0.5397 | 0.2791 | -0.3448 | -0.1640 | -1.3804 | 0.9411 | 0.7497 | -0.5205 | -0.7285 | -0.0779 | 0.2988 | 0.0861 | -0.8488 | 0.8229 | 0.8836 | 0.3554 | -2.0295 | -0.0272 | -0.1507 | -0.8259 | -0.3268 | 0.5971 | -0.3138 | 0.7117 | -0.9238 | 0.7841 | 0.1949 | -0.7418 | 1.1256 | 0.8856 | 2.1205 | -0.6633 | -0.9455 | -0.4264 | 1.1268 | 0.2473 | 0.8069 | 0.4243 | 0.2963 | -0.3138 | 0.2770 | 2.4095 | 0.2471 | -1.1532 | -0.5553 | -1.4190 | 1.8105 | 0.3731 | -1.0992 | 1.5704 | 0.5707 | -0.0046 | 0.0906 | -2.7573 | 0.1375 | -0.6182 | -0.8944 | 0.7510 | 0.1362 | 1.1811 | -2.2058 | -1.0883 | -0.9623 | -1.0667 | -0.5968 | 0.2757 | -0.8424 | -0.3067 | -1.8056 | 1.0228 | -0.2802 | 0.2029 | 1.4792 | 0.9550 | 0.4756 | 0.7344 | 0.1478 | -0.2365 | -0.4025 | -0.1126 | -0.8970 | -1.6524 | 0.6865 | 1.1285 | 0.0111 | -0.2648 | -0.3581 | -0.1774 | -1.3826 | 0.0245 | -0.0025 | -0.5064 | 0.9560 | -0.3141 | 0.0156 | 0.6857 | 0.5543 | 0.8203 | 0.3427 | -0.9941 | -0.3897 | -0.8038 | -0.1735 | 1.1685 | -1.3271 | -2.0113 | 0.0898 | -0.7520 | 0.8265 | 0.7512 | 1.2964 | -1.5585 | 0.1600 | 0.7976 | 0.4711 | -1.3381 | -1.5161 | -1.0059 | -2.4412 | -1.4355 | -1.8477 | -1.9607 | 1.7448 | -0.3832 | -0.3173 | 1.5469 | -0.6840 | -0.6670 | 0.4392 | -0.1130 | 0.3710 | -0.5691 | -0.0937 | -0.3896 | 0.2594 | 1.2693 | 1.1786 | -0.4332 | 0.8017 | 1.2234 | -0.8080 | -1.0684 | -0.0988 | -1.1707 | 0.4503 | 0.7944 | 1.1741 | -1.2367 | -1.4568 | -1.0939 | -0.4083 | -0.3051 | -0.2987 | 1.7997 | -0.7733 | -0.0443 | 0.4616 | 0.3326 | 0.3878 | 1.0649 | 0.9802 | 0.6543 | 0.0627 | -0.0472 | -2.3494 | -0.0089 | -0.7375 | -0.8439 | -0.9561 | 0.7514 | 0.0832 | -0.1618 | -0.0218 | -1.1153 | 0.2149 | -0.2354 | 0.4118 | -0.1999 | -0.4806 | -1.6129 | 1.7495 | -0.7379 | 0.9891 | 0.0752 | 1.8623 | -0.1812 | -1.4957 | 1.7223 | 1.5351 | 0.4803 | 0.3871 | 0.5380 | 1.0410 | -0.5752 | 0.4965 | 0.0211 | 0.5866 | 0.2261 | 0.7568 | 1.2019 | -0.4795 | 0.3870 | 0.7177 | -0.1784 | 1.5001 | -0.2681 | -0.3417 | -0.3236 | -0.9819 | 1.2244 | 1.0913 | -0.1641 | 1.2918 | -0.3374 | 1.3952 | 0.7727 | -0.1264 | -0.0364 | -0.2352 | 0.0682 | -1.4744 | 0.4119 | 0.3950 | -1.1068 | 0.5466 | -1.5092 | 1.2384 | 0.0191 | -1.5922 | 0.4545 | 0.7336 | -0.4287 | -0.3905 | -0.2266 | -1.7420 | 2.0463 | 1.2674 | 0.2320 | -1.6019 | 0.4499 | -0.0624 | 0.7589 | -0.3868 | -0.2234 | -0.4852 | -0.1333 | 0.1210 | 0.1547 | 0.8381 | -1.4377 | -0.0615 | -0.1612 | 0.6568 | 0.6938 | 1.0787 | -0.0660 | 0.4928 | 1.7039 | -1.7811 | -0.7195 | 0.6383 | -0.3231 | -2.1326 | 0.5116 | -0.2961 | 0.6960 | 0.5784 | -1.2572 | -1.9662 | 0.0317 | 0.1073 | 1.6167 | -0.2104 | -1.2312 | -1.6114 | 1.4275 | 0.6441 | 1.0186 | -1.0174 | -0.3420 | 0.7915 | -0.9972 | 1.5670 | -2.0971 | -1.0899 | -1.3136 | 0.2907 | 1.5967 | -1.3783 | 0.5003 | 1.3713 | -0.7212 | -0.7297 | -1.1916 | -0.3004 | -1.0067 | -1.1326 | -0.1468 | -1.4882 | -1.3396 | 0.8405 | 1.1595 | 0.0741 | -0.0265 | 1.2494 | -0.9208 | 1.8219 | -0.4138 | -0.3815 | -0.4851 | 0.2669 | -0.5499 | 0.4638 | 0.3069 | -0.8274 | -0.9002 | 1.7720 | -0.4000 | -0.1001 | -0.0284 | 0.0151 | 0.6536 | 0.9843 | 0.2249 | -1.1256 | -1.7993 | 0.7298 | 0.2410 | -0.2208 | -0.7900 | -0.2182 | 0.0895 | 0.6609 | -0.3130 | 0.1186 | 0.8442 | -0.0050 | 0.0881 | 1.1161 | -0.7653 | -0.4741 | 1.1354 | -0.6558 | 0.6946 | 0.8527 | 0.5358 | -0.2507 | 0.2613 | 1.7309 | 0.2447 | 0.2030 | 0.2829 | -0.2132 | -1.0216 | 0.3924 | 0.6584 | 0.2665 | -0.4922 | 0.7674 | -2.4775 | -0.3165 | -1.2199 | -0.5813 | 0.8015 | 1.6043 | -0.3836 | -0.6212 | 0.2182 | 0.6464 | 0.3777 | 1.1419 | -0.5955 | -0.6383 | -1.1229 | 0.9911 | -0.1722 | 1.2826 | 1.6019 | 1.0284 | 0.8142 | 0.4103 | 1.2931 | 0.6453 | 1.3577 | -0.0679 | -2.0115 | -0.3355 | -1.0666 | 1.9089 | -0.0360 | -0.2875 | -1.0035 | 0.3542 | 0.9051 | 0.6954 | 1.0888 | 0.4442 | 0.0658 | 0.0733 | 0.6369 | -0.0181 | -0.4297 | 0.4532 | 0.3606 | -0.1118 | -0.2746 | 0.9126 | -0.8164 | -0.6612 | 0.4300 | 0.9636 | 0.4292 | -0.4183 | 0.5044 | 1.2295 | 0.3592 | -2.2096 | -0.8968 | 0.2778 | -0.0460 | 0.4672 | 0.7510 | -0.3661 | 1.2673 | -1.4735 | 0.7583 | -0.8974 | 0.1334 | -1.2042 | 0.8089 | 0.3294 | -1.4791 | 2.0138 | 0.4885 | -0.7112 | 0.9002 | 0.3216 | 0.7559 | -0.3592 | -1.3998 | 0.1784 | 1.5960 | 0.7405 | -3.0413 | 0.8558 | -0.3126 | 0.6451 | 0.0971 | 2.2396 | -0.3576 | -1.0115 | 1.2410 | -0.7688 | -0.2770 | -0.4487 | 1.1716 | 2.1856 | -0.1557 | 1.8728 | 0.5023 | -0.4626 | 0.4093 | 1.2680 | -0.4061 | 0.9257 | 1.7277 | -0.3663 | -0.6258 | -0.3997 | -0.4637 | 0.7277 | -0.5895 | -0.0872 | -0.1765 | 1.0433 | 1.4868 | -1.4097 | 1.3425 | -1.0332 | -0.4271 | -0.0215 | -1.2408 | -1.0335 | -0.6665 | 1.4560 | -0.3983 | -1.7308 | 0.4360 | -0.6808 | 0.4828 | 1.3344 | 0.1696 | -0.2413 | -0.8580 | -0.5524 | 0.5702 | 0.1741 | 1.3589 | -0.2322 | -0.1562 | 0.7466 | -0.8503 | -1.5726 | -1.0132 | -0.9171 | -1.2879 | -0.1428 | -0.2727 | 0.2313 | 0.2058 | -1.4691 | 0.2864 | 0.1184 | 0.1895 | 0.2529 | -0.6690 | 0.3851 | 0.9831 | -0.6062 | -1.4072 | -0.4703 | -0.0933 | 0.7557 | -1.0045 | -0.0260 | 2.1307 | 0.1354 | -1.3909 | -0.1650 | 1.5531 | -0.1743 | 0.8759 | -2.4079 | 0.3820 | 0.0348 | 0.4317 | 0.2170 | 0.6898 | 2.3004 | 1.0208 | -1.1320 | 1.7040 | 1.2318 | -0.2791 | -0.0440 | 0.8027 | 0.8899 | -0.2238 | -0.5993 | -0.2811 | -1.7617 | 0.0140 | 0.5360 | 0.0676 | 0.4355 | 0.8185 | -0.6630 | 0.3624 | -0.9861 | -0.4051 | 2.2994 | 0.8753 | 1.0663 | -0.8224 | -0.2615 | -0.6535 | 0.3025 | 0.9765 | 0.3809 | -1.2217 | 0.0477 | -0.6045 | 0.8046 | -0.5224 | -0.2765 | -2.9446 | -0.0934 | -0.6383 | 1.6277 | 0.1794 | -0.4605 | -0.1561 | -0.8933 | 0.6425 | 1.0592 | 1.2846 | -0.4503 | -0.6145 | 0.6727 | -0.4180 | -0.4754 | -0.4694 | -0.9843 | -0.7822 | 1.0949 | 0.5507 | -0.2908 | 1.5750 | 0.0368 | -1.0137 | 1.7999 | 1.1000 | 0.7518 | 0.9808 | -0.8209 | 0.6304 | 0.4528 | -0.7172 | -0.2133 | -0.3369 | -0.6923 | 0.2111 | 0.3963 | 0.0659 | -0.3620 | 0.7135 | 0.5498 | -1.4668 | -0.7003 | -0.2883 | 0.4174 | -0.1494 | -0.5472 | -1.0539 | -1.0198 | -1.3114 | 1.0688 | -1.5628 | -1.0092 | 0.2366 | -0.1980 | 0.0098 | -1.2501 | -0.2550 | 0.1490 | -0.7943 | -0.2607 | 0.2602 | -0.9054 | 0.2949 | 0.5636 | -0.3686 | -0.3115 | -0.4756 | -0.4723 | -0.5161 | -0.6827 | -0.4447 | 0.7573 | 0.5976 | -0.1114 | 0.9641 | 1.4304 | -1.4542 | -0.0524 | 0.1712 | 0.1273 | 0.0286 | 1.8056 | -1.5671 | -0.5791 | 0.8942 | -0.0529 | 0.8429 | -0.0954 | -0.9031 | 0.2016 | 1.4972 | -0.8081 | -0.8870 | 0.8240 | 0.4754 | 0.2785 | 0.5732 | -0.5375 | 0.4922 | 0.2174 | -0.7212 | -0.4562 | -0.3037 | 0.1635 | 0.7293 | 1.4056 | 0.3577 | 0.8963 | 0.1241 | -0.1223 | -0.3543 | 0.8363 | 0.7989 | -0.0458 | 1.9530 | 1.2715 | 0.2756 | 1.0693 | -1.9625 | 0.8199 | -0.3846 | 0.2036 | -1.9287 | -1.5876 | 1.4114 | 1.1759 | -0.2255 | -0.0854 | 0.6041 | 1.2984 | -1.5829 | 0.6761 | 0.3741 | -1.8502 | -0.0136 | 0.3376 | -0.5211 | 0.0956 | -0.2195 | 0.3787 | 1.3197 | 1.9335 | 0.2598 | -0.6487 | 0.0311 | 0.7997 | -0.0163 | 0.0943 | 1.0924 | -1.9434 | -0.4991 | 1.7834 | 0.3546 | -0.1121 | -0.2527 | 0.6915 | -1.1893 | -0.4588 | 0.5719 | 0.7698 | -1.1724 | 0.4906 | -0.0681 | -0.3263 | -1.2998 | -0.3457 | 0.1816 | -1.5342 | 1.3529 | 0.6115 | 1.2372 | -0.5659 | -0.9102 | 0.7854 | 0.7475 | 0.0044 | 0.4916 | -0.2362 | -0.1225 | -0.3916 | -0.1616 | 1.2232 | -0.4762 | -0.5197 | 0.5784 | 0.9900 | 0.8266 | -1.3228 | 1.3986 | -0.9688 | 0.4829 | 1.3871 | -0.6264 | 0.4728 | 0.8268 | 0.0245 | 0.5302 | -0.3031 | -0.5000 | -0.4111 | 0.6765 | -1.0294 | 1.5938 | 0.6069 | 1.1006 | -0.1762 | 0.9834 | -0.7221 | 0.1963 | -0.1732 | 0.6001 | 0.8589 | 0.0152 | -0.1773 | -1.3230 | 1.5565 | 0.7368 | 0.0121 | -0.1070 | 1.9948 | -0.9797 | -0.5718 | -0.4369 | -0.2527 | -0.1930 | -1.2110 | 1.4633 | -0.5966 | 0.7950 | -1.6304 | -0.8982 | -1.3147 | -0.5584 | -0.2365 | -1.0740 | -0.5252 | -0.4434 | 1.3361 | -0.2393 | -0.2892 | 1.0125 | 1.0056 | 1.0048 | -0.2605 | 0.1837 | -0.2843 | 0.7327 | 2.0754 | 0.3647 | -0.9912 | 0.3200 | -0.7524 | -0.2079 | 0.1518 | -0.0678 | -0.9496 | -1.0363 | 0.9828 | -0.3632 | -0.8986 | -0.7750 | 1.1968 | -1.3065 | -0.7944 | -0.3299 | 0.2386 | 1.7887 | -0.8067 | 0.7216 | -0.7614 | 1.2723 | 0.0693 | -0.4535 | 0.6810 | 0.2593 | -1.5242 | -0.3677 | -0.5585 | -1.4586 | 0.3394 | 0.2241 | -0.6424 | 0.6033 | 0.9821 | -0.0134 | -1.3460 | 1.1919 |
| 1 | 1 | 55 | 1 | 64 | 0.6244 | 995.8974 | 995.2730 | 0 | -0.1826 | 1.5781 | 0.2968 | -0.6319 | 0.2923 | -0.9122 | -1.0672 | 0.3356 | -0.2238 | -0.5445 | -0.9626 | 0.6408 | -0.0036 | 1.3705 | 0.3944 | -0.3215 | 0.4229 | 1.9463 | 1.0223 | 1.8651 | -0.5314 | 0.0170 | -1.3309 | 0.4720 | -0.4692 | 0.8304 | -0.3114 | -0.0765 | -0.2441 | -0.3947 | -2.1383 | -0.3289 | -0.7748 | 0.2202 | -0.7588 | -0.5398 | -0.6438 | 0.3592 | 0.3890 | 0.5255 | 0.4331 | 1.3330 | 0.3346 | 1.2377 | -0.0533 | 1.4999 | 0.4826 | 1.1613 | 0.9349 | 1.8331 | 0.7570 | 0.7931 | -0.4352 | 1.6225 | -0.0598 | 1.9660 | -0.3291 | 0.2514 | -0.7134 | -0.6463 | -0.8408 | 1.2529 | -0.2831 | 0.8361 | 0.4010 | -0.3248 | 0.7107 | -0.3242 | 1.2622 | 1.3109 | -0.6601 | -0.4828 | 0.2436 | -0.3224 | -1.1942 | -0.7845 | 0.0100 | 1.4067 | -0.6173 | -0.9579 | 0.7340 | -0.3953 | 2.3507 | -1.3113 | 0.1152 | 1.0985 | -1.1162 | -1.3461 | -0.0216 | -1.6385 | 0.3938 | -1.9267 | 1.2610 | -0.0594 | 0.7311 | 0.8549 | -2.0909 | -1.1147 | 0.9581 | 0.0054 | 1.9655 | 0.3037 | -0.9862 | -0.7332 | -0.2901 | -0.3771 | -1.1867 | -0.4615 | -0.2218 | 0.6957 | -0.8004 | 2.0693 | 1.1892 | -0.1973 | -0.6961 | -1.5416 | -0.6901 | 2.0820 | -1.1639 | -1.2087 | -0.8173 | -0.0421 | -0.2442 | 1.4072 | 0.1968 | 0.1270 | 0.2260 | -0.1816 | -1.1928 | 1.0488 | 0.4833 | 0.1583 | 0.5114 | -0.9209 | -0.1744 | 0.9042 | 0.0251 | -1.1184 | 0.6677 | 0.7036 | 0.3033 | 0.3487 | -0.4083 | 1.3020 | 0.6314 | 0.4093 | 0.7329 | -1.3418 | -0.2261 | -0.1507 | 0.5979 | 0.9539 | 0.7569 | -1.6890 | 0.9763 | -0.1332 | -0.4725 | 1.3755 | -0.0990 | -1.3398 | 0.5778 | -0.2733 | -0.0701 | -0.6704 | 0.3384 | 0.8880 | -1.4797 | 0.1364 | -0.9890 | 0.3597 | -0.1763 | -0.0619 | -0.4721 | -1.2465 | -0.7643 | -0.0928 | 1.2399 | 0.2386 | -1.0119 | 0.4691 | -1.6489 | -0.7514 | -1.9079 | -1.2389 | -1.3970 | 1.3960 | -0.8236 | 0.5516 | 1.1970 | 0.6008 | 0.2246 | -0.6407 | 0.1169 | -0.4113 | -0.5248 | 1.0154 | 1.2778 | 0.5064 | -0.7383 | 0.5857 | 0.5996 | 0.8889 | -0.7921 | -0.8402 | 0.0324 | 2.1364 | -0.4682 | 1.0100 | 0.4157 | 0.3379 | -1.8452 | -0.2007 | 0.3552 | -0.4646 | -1.3604 | 1.2399 | 0.1021 | 0.8154 | 1.9956 | -0.5039 | -0.3002 | 0.0388 | 0.1890 | 0.8798 | -0.2127 | 0.3995 | -0.2221 | -0.5526 | 1.6674 | -0.8026 | -0.3621 | -0.1501 | 0.9711 | 0.1021 | 1.0392 | -0.3903 | -1.1882 | 0.0790 | 0.2290 | 0.3488 | -0.7132 | -0.5708 | -0.3375 | 1.7423 | 0.2483 | 0.7211 | 2.1515 | 1.1649 | -0.6213 | -1.5365 | -0.6763 | -0.8821 | 1.2507 | -0.5059 | -0.8889 | -0.4558 | -0.6828 | 0.4006 | 0.6775 | -0.9513 | 1.1667 | 0.3362 | -1.6448 | 1.9310 | -1.5587 | -1.1153 | 0.4041 | -0.5384 | -0.6693 | 0.4274 | -1.1401 | 0.1448 | -0.8189 | 0.2446 | 0.3767 | 0.5623 | -0.7446 | 0.7150 | 0.8327 | -0.8706 | 0.1224 | -0.3052 | 0.0892 | -0.4729 | 0.6259 | 1.4790 | -0.1700 | 1.0066 | 0.5137 | 0.8592 | -0.3537 | 0.0473 | -1.1326 | -0.6380 | -0.0144 | 1.5759 | -0.6627 | -1.0690 | -0.1455 | 0.5931 | 1.0264 | 0.2362 | -1.9287 | 0.5493 | 0.9099 | 0.6134 | 2.0297 | 0.2310 | 0.5119 | 0.9108 | 1.0968 | 0.2961 | 0.2864 | 1.0608 | 0.5893 | 1.1837 | -0.0695 | -1.0855 | -0.2009 | -0.9664 | -0.9794 | 0.4258 | 1.1510 | -0.1799 | 0.3869 | 1.5405 | -0.0119 | 0.1718 | -1.6213 | -1.1600 | -1.8224 | 0.0788 | 2.5318 | 2.4009 | 0.8358 | 0.6885 | -3.0731 | -0.2938 | 1.6337 | -0.0420 | -1.7759 | -0.1006 | -0.4947 | -0.5732 | -0.1121 | -1.5809 | -0.7562 | 1.4434 | 0.1302 | -0.4604 | 0.1498 | 0.2252 | 0.2486 | -0.7665 | 0.8912 | -0.9892 | 2.0202 | -0.3430 | -0.4050 | 0.9568 | 0.1982 | 0.0813 | -0.8393 | -1.8303 | 0.6315 | -0.3021 | -0.6866 | -0.4187 | -0.4368 | 1.6743 | -0.0167 | -0.4039 | 1.0593 | -0.6916 | 0.1942 | -2.0943 | -1.0130 | 0.7815 | -1.1494 | -0.5128 | 1.6012 | 1.1614 | -0.6524 | -0.3495 | 1.1996 | -0.2105 | 0.7746 | -1.4457 | -1.0192 | -0.5701 | -1.0546 | 0.4549 | 1.2311 | 2.0422 | 2.1031 | 0.5959 | -1.6200 | -0.5799 | -0.5526 | 0.1578 | 1.0413 | 0.6470 | 1.8320 | 1.6344 | -1.0615 | 0.1945 | 0.0436 | -0.6903 | -0.1334 | -0.6851 | -1.2909 | -0.9833 | 0.7933 | -0.4590 | -0.5602 | 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-1.3326 | 1.1528 | -1.1738 | -1.2169 | 1.3687 | -1.2195 | 1.2490 | -0.7023 | -1.1887 | -0.2242 | 0.1606 | 0.9297 | -0.9349 | 0.7379 | 0.8671 | 1.8527 | 0.0864 | 0.7183 | -0.9195 | -0.3782 | 0.0834 | -1.0061 | 1.1381 | -1.2362 | 0.2727 | -0.3997 | -0.5873 | 1.0154 | 0.8964 | 0.0109 | -0.3538 | 0.9959 | 0.2831 | 0.0492 | -0.0068 | 0.8036 | -0.0255 | -0.1450 | -0.3206 | 0.5535 | -1.5131 | -0.0509 | -0.1112 | -0.1389 | -0.8957 | 0.0857 | 0.1074 | 1.0410 | 0.6648 | 0.7051 | -1.3825 | 0.3690 | -0.6026 | -0.1552 | 0.7486 | -0.7559 | -0.4460 | 1.8105 | 0.1808 | 0.4791 | -0.3755 | 0.1236 | 0.7245 | -0.4036 | -0.5563 | 1.7333 | -1.0676 | 0.3544 | -0.7213 | 1.0740 | 0.8539 | -1.0467 | 0.6981 | -0.3268 | -0.2242 | 0.3999 | -1.3731 | -1.2138 | -0.0433 | 0.9030 | -0.1075 | -1.5442 | -0.6770 | -1.2895 | -1.2420 | -0.1325 | 0.1657 | 2.0771 | 0.5352 | -0.7332 | 0.3934 | 1.9490 | -0.2204 | 1.2116 | 0.7560 | -2.0298 | 0.2523 | 0.2736 | -1.4006 | -0.3452 | -0.6375 | 0.2387 | -0.2251 | -1.2821 | 1.9964 | 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| -0.7516 | 0.4360 | 0.3341 | -1.0433 | -0.6514 | 2.2861 | -0.3312 | 0.3805 | -0.1939 | 0.4745 | 1.5144 | 0.7666 | -0.9118 | 0.3584 | -0.8150 | -1.7174 | 1.3273 | 0.0002 | 0.2651 | -0.0483 | -1.4600 | 1.7228 | 0.5704 | -0.2801 | 0.8984 | 0.2630 | -0.8138 | -1.2457 | 0.4620 | 0.8884 | -0.7996 | 0.1454 | 1.6132 | -0.4888 | -0.2154 | 1.8566 | 0.2844 | -0.5487 | -2.3743 | -0.9432 | -1.7059 | -0.4953 | -1.6464 | 0.0597 | -0.2358 | 0.2523 | 0.1976 | -0.6425 | -0.0441 | 0.7717 | -0.6540 | -0.2747 | -0.4699 | -0.9356 | 0.6444 | -1.2063 | -0.6796 | -1.6314 | 0.1442 | 0.2330 | -0.8014 | -1.3668 | -0.1213 | 0.4953 | -0.4567 | 2.4205 | -0.6522 | -0.1997 | -0.6903 | 0.3192 | -0.2013 | -1.2484 | 0.8961 | -0.1642 | -1.1926 | -0.5654 | -0.6262 | -0.2856 | 0.2082 | 0.4194 | -0.5551 | -1.5333 | -1.0700 | -1.3495 | 0.3319 | -0.7872 | -0.3476 | 0.6356 | 1.4194 | 0.5840 | 1.6521 | -2.1703 | -0.9287 | -0.2437 | 0.1452 | -1.1366 | -0.3540 | -0.9167 | -1.6555 | 1.2462 | -1.9529 | -0.2364 | 0.0508 | 0.8861 | 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3.0379 | 0.4688 | -0.3516 | 1.7853 | -0.6395 | -0.4622 | 0.5152 | -2.1176 | 1.1447 | -1.5350 | 1.8654 | 0.0328 | 0.3688 | -1.3771 | -0.0603 | -0.9881 | -0.4381 | -0.0104 | -1.2731 | -1.5407 | -0.5047 | -0.2051 | -0.5746 | -3.4013 | 0.2106 | -0.9455 | -1.0059 | 0.9150 | -0.4598 | -1.1060 | -1.0370 | 0.5039 | -0.7180 | -0.4862 | -0.4957 | -0.0368 | 1.3451 | 0.5237 | 2.3707 | -0.1554 | -0.3088 | 0.3915 | -0.7403 | 0.3826 | 1.2907 | 0.4403 | 0.3811 | 1.7605 | 0.0939 | -0.2888 | -0.2877 | 2.0060 | 1.3505 | -0.3659 | 1.4874 | -0.3723 | -0.4539 | 0.3511 | 0.1554 | -0.1044 | 0.8808 | -1.1907 | 0.9439 | -0.2551 | -1.7377 | 0.3402 | 0.6959 | -0.7830 | 0.7624 | -1.6487 | 1.9321 | 0.3957 | -0.5097 | -1.1519 | 0.6308 | -0.8498 | 0.9405 | -0.2724 | -1.9153 | 0.3367 | 0.9673 | -1.1951 | 0.6921 | 0.4176 | -0.3456 | -1.4299 | -0.1240 | 1.5663 | -0.7272 | -0.7567 | -1.9407 | 0.9283 | -0.5360 | -0.5486 | -0.5299 | -0.3739 | -0.2498 | -0.2750 | -0.4897 | -0.1053 | -0.4647 | -1.6457 | 1.4950 | 0.9427 | 0.0100 | 0.8135 | -0.5022 | -0.3161 | -0.2474 | 0.5914 | -0.8159 | 1.2223 | 2.4058 | 1.4800 | -0.7206 | 0.5639 | 0.0032 | -0.2628 | 0.6249 | -1.0229 | 0.0719 | 2.8912 | 0.3829 | -1.7445 | -0.9272 | -0.6821 | 0.2464 | -0.3877 | 0.2959 | 1.6484 | -0.9586 | 1.4201 | -1.3257 | 0.5840 | 0.4444 | -1.5836 | -0.0686 | 0.1267 | 0.8448 | 0.1781 | -1.4645 | -1.4816 | 0.1025 | 0.5500 | -1.4066 | -0.7770 | 1.5014 | -0.7817 | 0.0843 | -0.4947 | -0.0349 | -0.1463 | -0.6181 | -1.4593 | -1.4231 | -0.4828 | 0.5376 | -0.0721 | 0.2684 | 0.5660 | 0.4857 | -0.7621 | -1.3159 | -0.6433 | -0.6626 | -0.7651 | -1.4681 | -1.3411 | -0.1944 | -1.4536 | -0.5907 | 0.1746 | -1.6445 | 0.6582 | 0.3191 | -0.3427 | 0.9631 | 1.7919 | -0.4035 | -1.0855 | 0.0429 | -0.6376 | 1.8177 | 0.2233 | -0.3071 | 1.3267 | 0.0228 | -0.3499 | -0.5692 | -0.4342 | -0.4826 | 0.0469 | 0.8543 | -0.3686 | -0.8891 | -0.4506 | -0.9236 | 0.9992 | 0.5601 | -0.3171 | 0.6797 | 1.0675 | -1.1041 | 1.7467 | -1.0125 | -0.2007 | 0.6034 | -0.1894 | 1.3321 | -0.9743 | -0.6309 | 1.2663 | -0.7589 | -0.5916 | 0.0638 | -0.1788 | -0.6908 | 0.9931 | 0.1583 | -0.6841 | 0.1524 | -0.6611 | -0.2251 | -0.1723 | -0.0006 | 0.6679 | -1.0248 | 0.6081 | 1.3783 | -0.6397 | -1.3323 | 0.5207 | -0.0169 | 0.1159 | -2.4445 | 0.0322 | -0.8574 | 0.5792 | -0.5100 | -1.1130 | -0.5775 | -0.9817 | -0.0812 | 0.2566 | 0.3477 | 0.9455 | -0.3640 | -0.1232 | 0.8936 | 1.0356 | -1.5917 | 0.3215 | 0.3925 | 1.5212 | 0.1213 | -0.7248 | -0.8536 | -1.2295 | 0.5332 | 1.2517 | -2.0553 | 1.0184 | -1.5289 | -0.2487 | -0.6813 | 1.6257 | 2.3136 | -0.2443 | 0.7309 | 0.5327 | 0.3814 | 0.4771 | 0.0025 | 1.6620 | 0.6398 | 1.2379 | 0.0046 | -0.3936 | -1.1866 | -2.5584 | -0.9334 | -0.1608 | 0.2981 | 0.6646 | -0.8921 | 0.3790 | 1.4970 | -0.3077 | -0.1668 | -0.5266 | -0.4801 | -0.2679 | -0.6399 | -1.2399 | 0.2370 | -1.5029 | -0.9014 | -0.5820 | 0.3139 | -0.4099 | 0.2300 | -0.2531 | -0.7696 | 1.5399 | 0.2752 | -1.2872 | 0.8393 | 0.0443 | -0.1027 | 0.8028 | -0.3414 | -1.5410 | 0.5819 | 0.1393 | -1.1636 | 1.1133 | -0.9372 | -0.1029 | 0.2832 | 0.5705 | -0.0101 | -1.2758 | -1.7128 | -0.0991 | -1.0708 | 1.0322 | 0.5764 | 0.5987 | 0.3139 | -0.1273 | -0.0216 | 1.3104 | -0.4037 | -0.6405 | -0.3665 | -0.6766 | -0.3419 | -0.3599 | -0.6705 | 0.9096 | -0.9592 | -0.2221 | -0.1356 | -1.1613 | -0.2085 | 0.7873 | -0.6217 | -0.6075 | 2.4926 | -0.2719 | 0.3210 | 0.9463 | 0.5466 | 1.0581 | 1.1412 | 0.8678 | -0.9790 | -0.1212 | -0.8882 | -0.9571 | -1.3481 | 1.7001 | 0.6899 | 0.5901 | 0.2555 | -0.7340 | 0.6903 | 0.1027 | 0.5834 | 0.7063 | 2.0290 | -0.1850 | 1.5575 | 0.8704 | -1.1746 | 0.0283 | -0.2771 | 0.7542 | -0.7960 | 1.1059 | 0.6611 | -0.4462 | 0.7915 | 0.1120 | -1.7539 | -0.3245 | -1.2828 | -0.0632 | 0.9817 | -1.3110 | 0.0935 | 0.6048 | -0.2266 | 1.0998 | -0.1855 | -1.5246 | -0.3104 | 0.2785 | 1.5461 | -1.3550 | 0.8656 | 0.4666 | -0.1412 | -2.1661 | -0.0574 | 0.0334 | -0.6579 | -0.5150 | 0.2848 | 1.8256 | 0.6510 | -0.3711 | 0.1096 | 0.4216 | 0.0575 | 0.2758 | 0.7215 | -0.3986 | 2.0531 | -0.0594 | -0.4763 | 0.2628 | -1.6874 | 0.8978 | 0.4414 | 0.6108 | -1.6497 | -0.1005 | -0.1635 | 0.1101 | 1.4812 | -1.0503 | -0.9094 | -2.0164 | 0.5217 | 0.8202 | -0.4641 | 0.4606 | -0.0042 | 0.8622 | 1.1488 | 0.1818 | 0.9832 | -0.1547 | 0.9282 | 0.6357 | -0.3566 | 0.1711 | -1.8552 | 0.3932 | 0.2753 | -1.2281 | 0.5152 | -1.5756 | 0.8499 | -0.5495 | -0.3042 | -1.1048 | 0.4561 | -0.1429 | 0.4544 | 0.6147 | 0.7435 | -1.5859 | 2.9199 | -0.4642 | -1.1636 | -0.5876 | -0.0061 | -1.8329 | -2.2767 | -1.1207 | 0.2861 | 1.5150 | -0.8733 | -0.5925 | -0.0500 | -0.0497 | 1.4644 | -0.1401 | 1.3627 | 0.8061 | -1.0087 | -0.2901 | 1.2001 | -0.2907 | 1.4395 | -0.7098 | 0.4855 | 0.2889 |
| 1 | 1 | 26 | 1 | 108 | 0.0043 | 6.5661 | 6.5618 | 0 | -1.4625 | -0.6339 | -0.8227 | -0.8738 | -0.7238 | 0.0192 | 1.6585 | 0.3450 | 1.3599 | 0.5685 | 1.7173 | 1.3831 | -1.7676 | -0.0483 | 0.8888 | 0.3363 | 0.4267 | 0.7173 | -0.9602 | -0.2871 | 1.1652 | -0.8929 | 0.1064 | -1.4993 | 0.1673 | 0.5526 | -1.4423 | -0.2513 | 0.6275 | -1.1689 | 0.8492 | -0.5421 | -0.3234 | -0.3524 | -1.4749 | -0.1801 | -0.2562 | 0.8546 | -0.1217 | 0.3431 | 0.2197 | 0.7987 | 0.3060 | 0.9571 | -1.3896 | -0.3943 | 0.3800 | -0.8497 | 0.0638 | -0.9278 | 1.9962 | 1.0146 | -0.0089 | -0.7863 | 1.8039 | 0.1419 | -0.8861 | 0.5885 | -0.9461 | 1.2295 | -0.0482 | 0.2829 | 0.3520 | 2.1772 | 0.0622 | 1.1082 | 1.1417 | -0.3458 | -1.0522 | 3.0249 | -0.5941 | -0.6689 | 1.7878 | 0.3329 | -1.9491 | 0.0049 | -1.1727 | -0.3863 | 0.0135 | -0.5439 | 0.0965 | 0.4947 | -0.1976 | 0.4151 | 0.4208 | -0.5131 | -0.6641 | -0.4818 | -1.3614 | -0.2289 | 0.1496 | -0.1635 | -0.8519 | -0.7213 | -0.0308 | 1.2857 | 0.4971 | 1.4662 | 0.5800 | -2.1938 | 0.1455 | -0.6311 | -0.2113 | -0.2336 | -1.4419 | 0.7415 | 1.0311 | 0.1676 | 0.9496 | -0.6456 | -0.7928 | 0.9249 | 0.2310 | 1.2826 | -1.5049 | 0.4238 | -0.8390 | -0.1129 | 0.2289 | 1.0799 | -0.1391 | 0.3928 | -0.0082 | 0.2892 | -0.6673 | 0.5618 | -0.5256 | -0.5998 | -0.9445 | 1.8240 | 0.0626 | 0.2373 | -1.9658 | -0.2476 | 0.3005 | 1.4867 | -1.0567 | 0.9099 | 0.0656 | 0.6086 | -0.3793 | 0.1527 | 0.3143 | 1.5897 | -1.0986 | -1.2327 | 1.1949 | 0.7745 | -0.4790 | -0.4521 | -0.0495 | 0.3449 | 0.8861 | -0.4818 | 0.4542 | -1.0839 | -1.3564 | 0.1909 | 2.5034 | -0.1547 | -0.0745 | -1.2111 | 1.8741 | 1.1808 | -0.9475 | -0.8563 | -0.1330 | 1.6864 | -1.1280 | 1.7240 | 0.4044 | -1.5129 | -0.2091 | -0.7165 | -2.1653 | -0.0897 | -0.4202 | 0.3253 | -2.8583 | -0.6115 | -0.2368 | -0.8738 | -1.8570 | 1.0682 | 1.7563 | 1.6267 | 0.3140 | -1.6739 | -0.1744 | 0.8296 | -0.3644 | 0.7947 | 0.5130 | -0.8430 | 0.3462 | -0.9428 | -1.2022 | 0.1842 | 0.2099 | 1.5613 | 0.4556 | 1.0932 | -0.5972 | -1.2266 | 0.2511 | 1.2352 | -0.1796 | 0.4281 | 1.4242 | 0.9908 | -1.2403 | 0.4519 | -0.8237 | 1.3946 | 0.9937 | 1.0371 | -0.0585 | -1.2569 | -1.8291 | -0.8711 | -1.1729 | 1.4357 | -0.6885 | -0.0149 | 0.3420 | -0.3307 | -1.4108 | -0.8240 | -1.0345 | 2.7396 | -0.8753 | -0.7308 | 0.4933 | 1.7266 | 1.2678 | 1.2577 | 0.5744 | 0.2991 | -0.7345 | 0.5459 | -0.0852 | 0.4175 | -1.7720 | -0.0090 | 0.0428 | -0.1665 | 0.8214 | -0.4293 | -0.8804 | -0.4443 | 1.1440 | 1.3405 | -0.6080 | -0.9691 | -1.8725 | 1.3158 | 0.0172 | 1.5090 | -0.7396 | 1.2883 | -1.1154 | -0.9082 | 0.7166 | 1.3032 | -0.5816 | -1.1850 | -0.0067 | 0.5582 | -0.1746 | 0.5067 | 1.3915 | 0.2405 | 0.4085 | -0.1500 | -0.1472 | -2.2606 | 0.0585 | 0.2906 | -0.3602 | -0.8912 | -0.0103 | -0.4819 | 0.2570 | -0.4778 | 0.4251 | -1.0703 | -2.0229 | 0.4849 | 0.3122 | -1.2634 | 0.0894 | -1.0278 | -0.1065 | -1.2740 | 0.1794 | 1.1750 | -0.5160 | 0.9934 | 0.4178 | -2.1852 | 1.2999 | 1.6601 | -0.4453 | -1.3380 | 1.2025 | 0.6344 | 1.1875 | -1.3504 | -0.6848 | 0.3441 | -1.0219 | 0.0591 | 0.9427 | 0.0921 | -1.4342 | -0.2024 | -0.7122 | 0.5639 | 1.2296 | -1.3199 | -1.2060 | 1.0742 | 0.8425 | 0.4978 | -0.2285 | 0.3315 | -0.6986 | 0.3387 | -0.6980 | -2.3453 | 1.6718 | -0.2475 | -0.4682 | 0.5181 | -0.6309 | 0.4748 | 1.1400 | 0.4916 | 0.1251 | 0.1478 | 0.9431 | -1.2654 | -1.2557 | -0.6302 | 0.1080 | -0.3632 | 0.9788 | -0.0672 | 0.5265 | -0.7299 | -0.4777 | -0.0237 | -0.0673 | -1.0642 | -0.1268 | -0.9702 | -0.2648 | 1.0685 | 1.5392 | 0.9731 | 1.3767 | -0.7943 | -0.2351 | 1.6505 | -0.6868 | -0.9031 | -0.1208 | -0.7989 | -0.1428 | 1.5352 | -0.8149 | -1.0376 | -0.4386 | -1.0268 | 1.8335 | 0.7451 | -0.0329 | -0.7797 | -1.5819 | -0.2653 | -0.1553 | 0.5628 | -0.5944 | -1.4095 | -1.5606 | 0.3376 | -1.4838 | -0.4526 | 2.2068 | 1.6602 | -0.7416 | 1.2521 | 2.2711 | 0.6643 | -0.1366 | -2.5332 | 0.8590 | 0.0655 | 0.3759 | 0.0044 | 0.3728 | -0.4405 | 0.7563 | -0.8069 | -0.4480 | 0.6385 | 0.2651 | -0.1821 | 1.7645 | 0.5835 | -0.7062 | -1.7632 | -1.7346 | -1.0765 | 1.1907 | 0.2239 | 1.3308 | 0.1672 | 0.6392 | 0.8512 | 1.0997 | 1.4609 | -0.3813 | 0.4703 | 1.4523 | -0.3890 | 1.2658 | 0.5163 | -1.0013 | -0.9125 | 0.0293 | 0.0433 | 0.3808 | 0.5531 | 0.2511 | 0.6676 | 1.1483 | -0.2754 | -1.4643 | -1.2861 | -1.7334 | 1.1750 | 1.8805 | -1.4459 | -0.6398 | -2.0861 | -1.0372 | -1.2898 | -0.0139 | 0.3511 | 0.7519 | -0.7881 | 0.4317 | -0.3143 | 1.0740 | -1.5689 | 1.6472 | 0.1727 | 0.4898 | 1.1896 | -2.0130 | -1.4230 | 0.5671 | -0.1059 | 0.9616 | -0.6384 | -1.8264 | 0.5525 | -0.2543 | -1.3289 | 1.8935 | 1.3149 | -0.9052 | -0.3984 | 0.7749 | -0.1456 | 0.2371 | -0.6980 | 0.1247 | 1.4745 | -1.1070 | -2.0430 | -0.7135 | -1.4477 | 1.7703 | 0.6041 | 1.8826 | 0.0117 | 0.2727 | 0.1414 | -0.0563 | 0.3794 | -0.7116 | 0.3198 | 0.3725 | 1.8896 | -0.1008 | -0.2373 | -3.6386 | -0.5937 | -0.7718 | -0.1259 | 0.7267 | 0.1836 | -0.3310 | -0.2577 | -0.9304 | 1.1681 | 1.7246 | 0.1865 | 0.6383 | -1.4742 | -0.7572 | 0.0450 | -0.4650 | 0.9713 | -1.7582 | -0.2825 | 0.4692 | 0.0824 | 1.2592 | -0.4092 | 0.5105 | -0.0159 | -0.5375 | 0.1632 | 0.1340 | -0.1700 | 0.3549 | -0.4862 | 0.2537 | -0.1870 | 0.7212 | 0.7583 | -0.0275 | -0.2328 | -0.7559 | -0.3659 | 0.1417 | -0.6630 | -0.2761 | 1.6152 | -0.5352 | -0.6710 | 0.4727 | -1.6459 | 0.1891 | 0.3017 | -2.1350 | 1.1512 | 1.0944 | 0.3484 | -1.3414 | 1.1699 | 0.3946 | 1.0157 | 2.4840 | 1.9817 | 0.6428 | -1.0233 | -1.2668 | -0.9074 | 0.3135 | -0.6803 | -1.5699 | -0.6178 | 0.6036 | 1.5001 | 1.7296 | 0.6761 | 1.0154 | 1.2930 | 0.5084 | -0.3897 | -0.8029 | -0.0571 | 0.0328 | 0.8956 | 2.4260 | 0.1834 | 0.3312 | -2.0876 | 0.7688 | 1.3057 | -0.1953 | -1.2566 | -0.4614 | 0.0274 | -0.4099 | -0.3107 | 1.2001 | 1.5411 | -0.6247 | 1.1823 | 1.5213 | -1.1878 | 1.5981 | -0.8697 | 0.0638 | -0.4486 | 0.0062 | 0.0139 | 0.3885 | -1.0548 | 0.2060 | -0.0463 | -2.5684 | 2.8619 | 1.4383 | 1.0283 | -0.8395 | 0.3764 | -1.0365 | -1.2536 | 0.3167 | 0.8391 | 0.2673 | 1.2683 | -0.6390 | -0.3575 | -1.4550 | -0.0232 | -1.5376 | -0.4652 | 0.6091 | 1.0291 | -0.9864 | -0.3035 | 1.2132 | 0.7372 | 0.9060 | 0.3968 | 0.1506 | 0.2009 | -0.4628 | -0.9821 | -0.2359 | -1.8789 | 1.5099 | -0.0072 | -0.2554 | -1.0119 | -1.1989 | 0.8216 | -0.6882 | 0.4491 | -0.2853 | -0.0584 | 0.2518 | 0.2014 | -0.6302 | -0.2288 | 0.8373 | 0.0953 | 0.6966 | 0.6956 | -1.0971 | -0.1770 | 1.5953 | 1.6156 | 0.1821 | 0.4270 | 0.9204 | 1.5104 | 1.1736 | -0.9858 | 1.6754 | 0.4929 | -0.7367 | -0.0800 | -0.6556 | -0.0794 | 0.0071 | -0.2988 | -0.1720 | 0.3009 | 0.7778 | -1.5221 | 0.3766 | 0.3825 | 0.5592 | -0.2809 | 0.6287 | 1.0493 | -0.4684 | 1.4704 | -0.4551 | -1.1441 | -1.3602 | 1.7873 | -1.0903 | -0.3161 | -0.2155 | 0.5835 | -0.1279 | 0.7451 | -0.3297 | 1.1810 | 0.0604 | 0.4176 | -0.7260 | 0.3215 | 1.7799 | 1.3085 | 0.0243 | 1.7489 | -1.3502 | 1.5449 | 0.1939 | 0.3078 | 1.6633 | -1.4000 | 1.4799 | 0.6559 | 0.5204 | 0.4802 | 1.1325 | -1.1038 | -0.0998 | -0.5536 | -0.8882 | -0.3291 | -0.1471 | -0.5674 | -1.1486 | 0.3327 | 0.8754 | 0.8309 | -1.6379 | 2.0928 | -0.4536 | -0.0123 | -0.8144 | -2.0531 | -1.4308 | -0.2137 | 0.8202 | 0.8978 | -1.9249 | -0.8696 | 1.2031 | -0.4478 | 0.2315 | -0.0942 | 0.3780 | -0.0813 | 0.5650 | 2.1499 | 0.5934 | 0.8401 | 0.9319 | 1.2272 | 0.4935 | -1.2108 | 0.2112 | 0.1748 | 0.2270 | -1.9573 | -0.7507 | -0.5890 | -0.4549 | 0.3585 | -0.4182 | 0.6289 | -2.0773 | 0.5090 | -0.6741 | 0.8288 | 0.1495 | 0.0904 | 1.5370 | 1.5202 | 1.3011 | 0.6761 | -0.7608 | -0.5264 | 1.3503 | -0.4271 | 2.3684 | -0.3477 | 0.7161 | -0.6359 | -1.7433 | -0.3166 | 0.5866 | 0.6197 | -0.1593 | 0.8566 | 1.4926 | -0.6620 | -1.3699 | -0.5767 | -1.0677 | -0.7534 | -0.0011 | -1.7275 | 0.3911 | 1.0563 | 0.5129 | 0.9899 | 0.6302 | 0.5566 | 0.9384 | -0.6255 | -0.9135 | -0.1981 | 0.3617 | 0.4367 | -0.9967 | -0.8352 | -0.6386 | -0.2739 | 0.3866 | 0.0917 | 1.5648 | 0.0106 | -0.9773 | 0.0539 | -1.2843 | -0.9450 | -0.0673 | 0.5963 | 1.5511 | -0.8940 | 0.0846 | 1.4299 | -0.6789 | -0.9792 | 0.0485 | -2.2221 | -0.0430 | 0.2509 | -1.0902 | -0.4000 | 0.0200 | -0.1463 | 0.9005 | 0.4769 | -1.0600 | -0.0825 | -1.1626 | -0.9666 | 0.8728 | 0.0680 | 0.3752 | -0.4622 | -0.3664 | 0.4394 | 0.3910 | -0.8686 | -0.4918 | -0.1845 | -0.7808 | 0.3116 | -0.3851 | -0.9672 | 0.5316 | -0.5835 | -0.6865 | -0.9496 | -1.5039 | 0.0559 | 1.6116 | 0.1021 | 1.1215 | -0.0523 | 0.7142 | -1.0591 | 0.8713 | -1.5837 | -0.5511 | 0.1998 | -0.9740 | -1.3945 | -1.0236 | -0.8025 | -1.6148 | 0.3664 | -1.0657 | -0.4095 | 0.2649 | -0.4152 | -0.2468 | -0.8041 | -0.3864 | -0.4317 | 0.2371 | 1.0307 | 3.1419 | -0.3070 | 0.8767 | -0.6243 | -0.0426 | -0.5570 | -0.4736 | -1.2256 | 1.0292 | 0.0988 | 0.3591 | -0.9846 | -0.2659 | -0.5666 | -1.1964 | 0.6832 | 1.8666 | -0.0639 | -1.5065 | 0.5550 | -0.6688 | 0.4970 | 0.2206 | 1.6435 | 0.6485 | 0.3586 | -1.8991 | -0.7618 | -1.1064 | -1.0933 | 1.2942 | -0.9146 | 2.2316 | -0.4559 | 1.0228 | 2.0761 | 0.0812 | -0.8857 | -1.1836 | 0.3785 | -1.4721 | -0.8192 | -0.6438 | 0.2865 | -0.5856 | -1.5190 | -0.2658 | -0.8706 | 1.2948 | 0.4395 | -1.5426 | 0.3958 | -0.7624 | -0.1991 | 0.4373 | -0.2705 | 0.3439 | 0.4870 | -1.4573 | 0.7146 | 0.7752 | -0.7085 | -0.0707 | 1.3017 | 0.8757 | 0.3567 | 0.3141 | 0.1487 | 1.1269 | -0.1393 | 0.0411 | 0.8410 | -0.9898 | 0.5711 | -0.5706 | 0.0510 | 0.4635 | -0.5584 | 2.0703 | 1.4989 | 0.0302 | -0.3299 | -1.3010 | -1.9688 | 0.0482 | -1.6228 | -0.7666 | -0.0748 | 1.5355 | -0.9069 | 0.0535 | 0.2407 | 1.3415 | 0.9351 | -0.3412 | -0.5237 | -1.8583 | -1.1782 | -0.8871 | -0.7262 | -0.1825 | -2.4322 | 0.3365 | -0.5645 | 1.5916 | -0.3617 | 0.5222 | -2.0952 | 1.0348 | 0.8428 | -0.4005 | 0.5152 | 1.3700 | -2.2621 | 0.1309 | 0.7034 | -0.1578 | 0.7275 | -0.3223 | 0.3261 | -0.3673 | -0.1109 | 0.3863 | -1.1891 | -0.0823 | -1.5076 | 0.3943 | -1.8380 | 0.1423 | -0.9272 | 0.2111 | 0.3710 | -1.0920 | 0.3717 | 1.2706 | -2.5100 | -1.4691 | -0.2151 | -0.0050 | -0.7595 | 1.2244 | -0.4721 | 0.0169 | -0.4818 | -0.2751 | -0.1918 | -0.9069 | -0.7117 | 0.4644 | -1.4380 | -0.9046 | 0.0331 | 0.1080 | 0.8022 | 0.2442 | -0.2915 | 0.3364 | -0.2888 | 0.9786 | 0.6242 | 0.4455 | 1.7151 | 0.1373 | -0.4674 | 0.2111 | 2.2301 | -0.4963 | -0.5372 | 1.1926 | -1.7101 | -1.5395 | -0.4412 | -0.2036 | -0.0573 | 0.4923 | -1.2013 | -1.8160 | 0.6448 | -2.4833 | 0.0005 | -0.6099 | 0.3200 | -0.0721 | 0.3708 | 0.7353 | 1.2089 | 1.5465 | -0.8759 | -1.4089 | 0.8409 | 1.4430 | -0.2480 | -1.2013 | -1.0619 | 0.1577 | -0.3053 | -0.5104 | 0.9838 | 0.1750 | -0.4915 | -1.4438 | 0.9107 | 1.5647 | -1.2458 | -0.0443 | -0.1391 | -0.1153 | -0.7733 | -0.6372 | -0.8581 | -0.3007 | 0.1866 | -0.1923 | 1.2074 | 1.0554 | -0.2571 | -0.4537 | -1.0090 | 0.8955 | -0.8515 | 0.4159 | 0.3077 | -0.0385 | 0.6683 | -1.0585 | 1.0319 | -0.4084 | -0.4533 | 0.6466 | -0.2927 | -0.2592 | 0.0750 | 0.3186 | 1.9131 | -0.9335 | 0.3825 | -1.1652 | 1.7957 | -0.2171 | 0.6135 | -0.3108 | 2.4224 | -0.0094 | 0.2927 | 0.9976 | 0.6419 | -1.2474 | 0.3434 | -1.4991 | -0.7442 | 0.2831 | -0.4572 | 0.7226 | -1.1855 | 0.8604 | 1.3444 | 0.5202 | 0.2279 | 0.2484 | 0.4876 | -1.4776 | -1.0156 | 0.3547 | -0.0778 | 0.4199 | -1.5097 | -0.3662 | 1.0008 | 0.1240 | 0.9374 | 1.1236 | 0.0544 | -3.4111 | 1.4628 | 1.5592 | 0.6972 | -0.4717 | -0.4126 | 0.7220 | 1.8658 | 0.9876 | -1.0853 | -0.1421 | -0.4932 | 1.1992 | 0.6419 | 0.8497 | -0.1786 | -0.0091 | -0.4667 | -1.9981 | 0.4057 | 0.7979 | 0.4230 | -1.0111 | -1.0966 | 0.2287 | -0.4954 | -1.2598 | -0.7878 | 1.3690 | 2.5427 | 1.8420 | -0.0045 | 0.2614 | -1.2717 | -1.2535 | -1.2271 | -0.6832 | 1.9563 | -1.0234 | -1.5072 | -2.2029 | 0.0247 | -0.6985 | 0.3122 | -1.3384 | 0.0687 | 1.2835 | 0.1160 | 1.3731 | -0.9945 | -0.1195 | -1.4903 | -1.3908 | 0.6933 | -1.0594 | 0.6345 | -0.3948 | 0.7555 | -0.5351 | -0.1352 | 0.1499 | 0.0350 | 2.5509 | -0.2640 | -0.7073 | -0.4502 | -0.3140 | -1.6797 | -1.1634 | 0.5340 | -0.1890 | 0.8928 | 0.0781 | -0.0839 | 0.4393 | -1.9875 | -0.3542 | -0.7772 | 2.1734 | 1.0061 | 0.8610 | -0.6360 | 0.1295 | -1.7954 | 0.5466 | 0.6266 | 1.3214 | 0.9848 | -0.5990 | 3.1297 | 0.8740 | 1.2900 | 0.0655 | 1.0568 | 0.2969 | 0.8730 | 0.3095 | -0.0352 | -0.7300 | -0.3240 | -1.3462 | -0.8933 | 1.8489 | -0.4021 | -0.6059 | -0.3637 | 0.3698 | 0.2110 | 0.6545 | 0.0410 | 0.1307 | 1.6066 | -1.1939 | 0.2040 | 2.0059 | -0.8951 | 0.7958 | 0.4373 | -0.4179 | -0.4622 | 1.1651 | 0.5849 | 0.6510 | 1.5977 | 0.8345 | -0.6608 | 0.0730 | 0.5330 | 0.2055 | 0.5709 | 1.3387 | 0.0912 | -0.9194 | -0.9486 | 0.7254 | -0.3628 | 0.6166 | 1.0369 | -0.7598 | 1.0376 | -0.3597 | 0.1364 | 0.6770 | -0.8775 | -0.2716 | -0.6017 | 1.1408 | -1.1819 | -1.0860 | 1.9739 | 0.7589 | 1.2462 | 0.8011 | -0.9887 | -0.9480 | -0.9100 | -0.9686 | -0.8427 | -0.2932 | -0.1503 | -0.3049 | 1.6365 | -0.0535 | -0.4425 | -0.3317 | -0.1374 | 1.3932 | -0.4017 | -0.1486 | -0.2022 | -0.7709 | -0.2027 | -1.2854 | 1.3585 | 0.9304 | -0.3581 | 1.7085 | 0.7265 | -0.5094 | 0.0458 | -0.1956 | -1.8206 | -1.1091 | 2.2576 | 1.2766 | 0.2156 | -0.6153 | 1.4667 | -1.3268 | 0.3877 | 0.7912 | 0.4285 | -0.0147 | 0.2643 | 0.1982 | -0.6060 | 0.3419 | -0.1265 | -0.7007 | 1.2081 | 1.7180 | -0.2152 | -1.3268 | 0.7138 | -0.1650 | -0.3962 | -0.2186 | 0.1539 | -0.3956 | -0.8388 | -0.4110 | -0.5374 | 0.2284 | 0.2525 | 1.1923 | -0.2478 | -1.8710 | 0.7825 | -1.2532 | -0.4423 | 1.3512 | 0.9468 | 1.3732 | 0.4596 | -1.8438 | 2.3012 | 0.2078 | -0.5034 | -1.9326 | 0.7713 | 0.4449 | -0.0222 | 1.6620 | 0.5040 | 0.2381 | -1.0191 | -0.8721 | 1.2622 | -0.4865 | 1.5871 | -0.9838 | -0.7201 | -0.0192 | 1.2565 | 0.6697 | -0.5472 | -0.3344 | 0.7752 | -0.1349 | 0.1716 | 1.9689 | 2.5302 | 0.6916 | -1.9385 | 0.1268 | 1.2069 | 0.0957 | -0.2295 | 0.7175 | -1.1887 | 1.2995 | 0.4858 | -0.4072 | 0.1365 | 0.1879 | 0.8492 | 0.9715 | -0.6837 | 1.4551 | 0.6932 | -0.7054 | -1.7395 | 0.6058 | 0.5115 | 1.1300 | -0.5772 | -1.6557 | -0.5532 | 0.8266 | -1.6257 | -0.8786 | -1.6341 | 0.0194 | 1.9811 | 0.1463 | -0.4185 | 0.5074 | -0.1605 | -0.2654 | 0.8385 | -0.0090 | 0.6282 | 0.2216 | -0.8192 | -0.2741 | -0.7065 | 0.2495 | -0.0001 | 0.9023 | 0.3917 | 0.4188 | -0.0292 | 0.0476 | -0.4554 | -0.1576 | 0.6057 | 2.4175 | -1.0828 | -0.6571 | -1.8846 | 1.2663 | 1.8625 | -1.6689 | -1.4268 | -1.0151 | 0.6568 | -2.3108 | 1.3175 | 0.8318 | -1.0157 | 0.3602 | 0.3650 | 1.7295 | -0.0656 | -1.0388 | -0.2339 | 0.7873 | -0.4612 | -0.5443 | -0.5131 | 1.2409 | -0.2195 | 1.4132 | 0.9626 | -1.6239 | 0.8360 | 1.5192 | -1.3610 | 0.0849 | 0.6746 | -0.0840 | -0.4366 | -1.3652 | 0.0337 | 0.2080 | 0.5178 | -0.9997 | -0.9926 | 0.4394 | -1.9287 | -0.7746 | -0.0576 | 0.5075 | -0.9356 | -0.5406 | -0.0375 | -1.9402 | 0.2471 | 0.1068 | 1.4786 | -0.3102 | -0.4973 | 0.1042 | -0.3739 | -2.0930 | -0.5900 | -1.0490 | 0.2498 | -1.0263 | 0.6396 | 0.3332 | 0.8412 | -0.5048 | 1.0508 | -1.4926 | 1.0517 |
| 1 | 1 | 40 | 1 | 47 | 0.6684 | 1052.6896 | 1052.0212 | 0 | -0.7860 | -1.4764 | -1.1667 | -0.9434 | 0.7472 | -0.1852 | -0.0424 | 0.7989 | -1.5014 | -1.2923 | 0.0961 | -0.7275 | 1.0174 | 0.9041 | 0.0436 | 0.3145 | -0.3103 | 1.2107 | 0.2459 | 0.7560 | 0.7536 | 0.1245 | -0.8750 | 0.4665 | 1.3715 | 0.9577 | -0.9286 | -0.8962 | -0.9049 | 1.2768 | -0.4558 | 0.2492 | 1.9048 | 0.2108 | 1.2971 | 0.3652 | -0.8997 | 0.3401 | 1.2610 | 0.1774 | 0.4041 | -0.4342 | 0.1859 | -1.1391 | -1.1893 | -1.1389 | 0.4453 | -0.6155 | -0.0796 | -0.5538 | 0.2318 | -0.0680 | 1.4969 | -0.9658 | 0.9894 | 1.4317 | 1.7206 | -0.5608 | 1.1469 | 0.2717 | -0.9677 | -0.1584 | -1.3949 | -2.3347 | -0.2482 | -1.7257 | 0.2923 | 1.0644 | -0.0141 | -0.7785 | 0.1826 | 0.5001 | -0.6961 | -0.0390 | 0.9071 | -1.7125 | -1.1673 | 0.0514 | -0.0821 | -0.1609 | 0.7173 | -0.0843 | 0.8450 | 2.1018 | 0.1791 | -1.0385 | -0.3536 | 0.2566 | 0.7783 | 1.4325 | -1.9214 | -1.0638 | 0.3092 | -0.7661 | -0.6369 | -0.9837 | -0.7659 | -1.8681 | -0.2056 | 0.1701 | 0.2901 | -0.4014 | 0.3431 | -0.1251 | -0.9775 | -1.3594 | -0.5755 | 1.4901 | 0.1677 | -0.4503 | -0.4418 | 0.8152 | -0.3325 | -0.5154 | -0.1748 | 0.5379 | 0.0089 | -1.5682 | 1.4085 | 0.5178 | -0.6926 | 0.9256 | -0.1784 | 0.9296 | -0.0162 | 0.9218 | -0.0389 | -0.6965 | -1.0011 | 1.2589 | 0.8792 | -1.2497 | -1.3405 | -0.1079 | 0.4893 | -0.3680 | 2.0406 | 0.9341 | -2.4533 | 0.9672 | 0.4387 | 0.4718 | -0.0149 | 1.2686 | -1.1167 | 0.5589 | -0.6735 | -0.4084 | -1.9809 | -1.3531 | -0.8346 | -0.4546 | 0.8780 | 1.6059 | -0.5602 | 0.0125 | -1.3791 | 0.9519 | -1.5106 | -0.4687 | 0.7875 | -1.3201 | -0.8224 | -0.2524 | 1.6595 | -0.2292 | 1.6858 | -1.2887 | 0.2506 | -0.0728 | 0.0930 | 1.0182 | -0.5229 | 0.4444 | -1.7392 | -0.1547 | 1.3522 | -1.0515 | 0.9957 | 0.3539 | 1.2180 | 1.0659 | 0.7637 | -1.2783 | 0.1833 | 0.3438 | 0.7125 | -1.0745 | -0.6147 | -2.0826 | 1.1063 | -0.7477 | 0.6259 | 0.3661 | 2.0828 | 1.8922 | 0.1413 | -0.9833 | 0.0467 | -0.5056 | -1.0314 | -1.1940 | 0.5800 | -1.1016 | -0.2654 | 1.9212 | 0.5549 | -2.1753 | 1.4929 | -0.2478 | -1.2420 | -0.6560 | -0.3421 | 0.4322 | 0.4400 | -1.0640 | 0.2586 | 1.7527 | -0.0028 | 2.0088 | 0.4310 | 0.7195 | 0.9566 | -0.0441 | -1.6152 | 2.4755 | 1.2497 | 1.0535 | 0.6953 | -1.3970 | -0.1070 | 1.3913 | -0.2108 | -1.8578 | -0.6827 | 2.6269 | -1.5486 | -1.7093 | 0.8425 | 2.4731 | 1.3520 | -0.3186 | 1.7684 | -0.5463 | 0.6210 | 0.0228 | -0.2504 | -0.6116 | -0.7450 | 1.1706 | -1.1119 | 2.6352 | 0.2847 | 1.0842 | -0.1172 | 0.3861 | 0.0872 | 0.2648 | 1.6350 | -0.3170 | 0.1524 | 0.5276 | -1.9098 | -0.5066 | -0.4910 | 0.4333 | -1.3497 | 0.2873 | 0.4051 | 0.7906 | 0.1488 | 0.0552 | 0.3153 | 0.8265 | -0.9661 | 1.5314 | -0.5451 | 0.3859 | -1.4226 | 0.7253 | -0.6094 | -0.8053 | -1.1582 | -0.4706 | 1.0011 | -2.3909 | -0.3284 | -0.8816 | 1.4407 | -0.8335 | 0.3000 | 2.2516 | 0.2809 | -1.8934 | -1.9310 | -1.8550 | 1.3010 | 0.5462 | -0.6027 | -1.0837 | -1.5598 | -0.1180 | -0.5375 | 0.9536 | -0.3366 | -0.0916 | -0.4825 | 0.4344 | 0.2507 | -1.2073 | -0.7704 | -0.6547 | 0.1481 | 0.7140 | -0.0906 | -0.8171 | 1.0152 | 1.3286 | 1.3222 | 0.9472 | -0.8339 | -0.0105 | 0.1423 | 1.4309 | -0.3388 | -0.5822 | 1.5362 | 0.9578 | 1.5516 | 0.9025 | 0.7125 | 1.2064 | 1.3483 | -1.2360 | 0.6989 | -0.2946 | -1.4279 | -0.8187 | -0.6686 | -0.6961 | -0.8291 | 0.8964 | 1.3392 | -0.1432 | -0.5685 | 1.2983 | 0.1406 | 0.2958 | 0.6070 | -1.5352 | 0.3645 | -0.1329 | 0.9665 | 0.4061 | -0.7472 | -1.6653 | -0.2464 | -1.1008 | 0.3234 | 0.6380 | -1.3441 | -0.2421 | -0.5462 | 0.4430 | 0.6660 | -2.0264 | 0.8105 | -1.0838 | 0.2818 | -0.5014 | 2.2477 | -0.4015 | -0.7193 | -1.9053 | 0.0666 | 0.8117 | -0.1474 | 1.3485 | 1.5652 | -0.2720 | -0.6042 | -0.6623 | 0.1241 | -0.3074 | -1.1563 | 0.5491 | -0.4129 | -0.5415 | 0.6925 | 1.1700 | -0.2106 | -0.9579 | 0.8702 | -0.9886 | 0.0184 | -0.5444 | 1.9726 | 0.1510 | 0.4716 | -0.7908 | 0.5947 | -0.0713 | -0.1764 | 0.1120 | 0.1370 | 1.7276 | 0.7005 | 0.6308 | 0.9966 | -0.4926 | -0.0378 | 0.7219 | 0.4677 | -0.8166 | -0.0089 | -0.0231 | 0.7781 | 0.3652 | -0.7039 | 0.0048 | -0.0302 | 0.0453 | -0.3344 | -0.1590 | -0.9908 | 1.8894 | 0.7066 | -0.4545 | -0.0656 | -1.3591 | 1.2310 | 0.1685 | 0.2474 | -1.9646 | 0.5509 | 1.2970 | 1.6943 | 0.4756 | 2.1488 | 0.4022 | -0.7660 | -1.5884 | -0.7170 | 0.5727 | 0.1108 | 0.2397 | 0.2866 | -0.9626 | 1.4460 | 1.1573 | 0.8149 | 0.4453 | -0.8247 | -1.0943 | 0.7091 | 0.7657 | -0.6944 | -0.8752 | -0.4664 | -0.3612 | -2.1442 | 0.5541 | -2.2033 | -1.0178 | 0.6328 | 0.0068 | -0.0867 | 0.1605 | 1.4934 | 0.3190 | 1.7390 | 1.2137 | 0.1274 | 1.0290 | 0.6422 | 0.0393 | -0.3012 | -0.3717 | -1.2711 | -0.9179 | -1.9055 | -1.4851 | 0.2146 | -0.2486 | 0.3958 | 1.9904 | -0.8141 | 1.6347 | -0.1816 | 0.2864 | -1.9194 | 0.6935 | -0.6953 | 0.3903 | -0.7318 | 0.2711 | 1.2377 | 1.1821 | -0.0258 | -0.0582 | -1.5816 | 0.4063 | 0.4530 | 0.2565 | 0.3031 | -0.5200 | -1.0752 | 0.6734 | 0.9782 | -0.6081 | 0.0904 | -1.3981 | -0.9293 | -2.1754 | 0.8513 | -1.1672 | -0.7587 | -0.5400 | 0.0808 | 1.1496 | 0.2240 | -0.6396 | -0.9568 | 0.5986 | 0.1682 | 0.4489 | 0.5819 | -1.7309 | 1.3994 | -0.0155 | -0.2520 | 0.2334 | 0.4195 | -1.0158 | -0.3754 | -1.2829 | -1.4706 | -0.1924 | -1.5959 | 0.6738 | 1.2327 | 0.0886 | 0.5834 | 0.1892 | -0.2698 | -1.2960 | -1.1699 | -0.2470 | -1.1428 | 0.3269 | -0.1044 | 0.9402 | 0.8029 | -0.8045 | -0.7893 | -1.1172 | -0.0641 | 0.6382 | 0.8084 | -2.0016 | -0.2430 | -0.4394 | 1.5415 | 0.1214 | -1.8222 | -0.9096 | -0.3674 | 0.2012 | 1.6302 | -1.2223 | -1.9138 | -1.8566 | 0.8329 | -1.1826 | -0.1233 | -0.1391 | -0.1255 | -1.0656 | -0.5156 | -1.2689 | 0.5988 | -0.4174 | -0.3852 | 0.7073 | -0.5604 | -0.4005 | 0.6950 | -0.0968 | -1.3279 | -0.5735 | -0.4185 | -0.6000 | 1.0723 | -0.6725 | 1.0018 | 0.4008 | 0.0255 | -0.3173 | -1.1506 | 0.5257 | -1.7123 | -0.9203 | 0.6095 | 2.1243 | 0.5392 | -1.5946 | -1.2933 | 0.6464 | 0.7421 | -0.7076 | -0.7143 | -0.6342 | -0.6124 | 0.5769 | 0.0958 | -1.6476 | 0.7071 | -0.8433 | 0.0993 | 0.5986 | 0.6411 | -0.1114 | -0.1423 | -0.5286 | -0.1770 | -0.4642 | -1.8069 | 0.1793 | -1.8406 | -0.2636 | 0.0276 | -0.9537 | 0.0852 | 0.3548 | -0.9333 | 1.0231 | -0.0113 | 0.5508 | 1.4629 | -1.5433 | 1.7977 | -0.1078 | -1.7167 | 0.7956 | 0.9203 | 0.7162 | 1.9957 | 1.0913 | -1.6897 | 0.9219 | 0.2995 | 0.5571 | -0.4666 | -0.0475 | -0.6679 | -0.7924 | 0.4855 | 1.2779 | -2.2584 | 0.3780 | 2.8062 | 1.9861 | 0.0539 | 0.4970 | 0.9868 | 0.2389 | -0.7433 | 0.5368 | -0.9926 | -0.3637 | 0.4077 | 0.3190 | -1.4457 | -0.2283 | 0.2155 | -0.7808 | 0.9186 | -0.4439 | 0.6164 | -0.7087 | 1.0797 | 0.5726 | 0.2218 | 0.6915 | -0.1792 | -1.3645 | -0.2115 | -0.5691 | -0.9780 | 0.2443 | -0.3326 | -0.2023 | -0.3588 | 0.4737 | -2.1469 | 2.4791 | 0.5826 | 0.6828 | -0.9643 | 1.5808 | 0.6221 | -1.4038 | -0.6072 | -0.7541 | -0.0890 | -0.4348 | -0.6195 | 1.2022 | -0.6262 | -0.6292 | -0.0638 | -0.1995 | -0.0585 | 0.9043 | -1.7466 | 0.5940 | 0.6394 | -1.1232 | 0.4240 | 0.1401 | -0.9107 | -0.8817 | 2.9476 | 0.1717 | 1.1725 | 1.6184 | -1.9356 | -0.9928 | -0.3342 | 0.6064 | 0.2446 | -1.2073 | 0.9624 | -0.5609 | 0.0984 | 0.6834 | 0.7723 | 0.8243 | 2.5509 | 1.6406 | 1.6184 | 0.1549 | 0.1908 | 0.7710 | 0.4346 | 0.0304 | 1.1925 | 0.5491 | -0.6565 | -1.0697 | 0.4458 | -1.4364 | 0.7491 | 0.5355 | 0.5005 | -1.3122 | -0.7126 | 0.7294 | -0.8391 | 0.4239 | -0.1278 | 0.7523 | 0.6907 | -0.9424 | -0.5520 | 2.9535 | -0.4902 | -0.8125 | -1.1807 | -0.7374 | -0.0131 | -1.5374 | 0.0742 | -1.0375 | 0.1961 | -0.2783 | 0.1159 | 0.8805 | -0.1927 | 1.8049 | 1.8551 | -0.4549 | 1.9446 | 0.6633 | -0.6899 | 0.0636 | 0.6957 | 1.5545 | 0.2464 | 1.9137 | -1.3472 | 0.2039 | 2.2123 | -0.1172 | -0.1627 | -1.6876 | 1.4127 | 0.2666 | -0.9251 | -0.7096 | 0.0667 | 2.6439 | -2.4088 | 0.5755 | 1.2743 | 0.0976 | 1.6704 | -2.0072 | 0.6887 | 1.4257 | 0.0550 | 1.3325 | -1.0642 | -0.0337 | 0.4472 | -0.8448 | -1.2528 | 0.7053 | -0.5347 | -1.7678 | 0.6012 | 1.3244 | -0.2447 | -0.5193 | -0.9785 | 2.1413 | 0.5364 | -1.8607 | 0.4976 | -0.7044 | 0.2864 | -1.0373 | -0.2333 | -0.3923 | 1.2600 | -0.4928 | 0.7430 | -1.6786 | 0.4814 | 1.0945 | 0.7712 | 1.0048 | 0.3917 | -1.1491 | 0.3327 | 0.3938 | 0.8027 | -0.6596 | -0.2277 | 1.4781 | 0.0442 | 1.7152 | -1.2529 | 0.4785 | -0.1701 | 1.3577 | 0.7163 | 1.2732 | 0.8658 | -0.4722 | -0.2345 | 1.9932 | -1.9805 | -0.9354 | 0.3113 | -1.0866 | -1.5380 | -0.2088 | -0.2002 | -0.1575 | -0.6863 | 0.3139 | -0.8611 | -0.2992 | -0.7029 | -1.4363 | 0.0480 | -0.3805 | -0.9813 | -0.5505 | 0.8474 | -0.2807 | 2.3026 | 0.4230 | 0.8924 | -0.3186 | -0.4335 | -1.4982 | 0.1087 | -0.3733 | 0.9488 | -1.1842 | 0.2505 | 0.8574 | -1.7521 | 0.8932 | 0.5386 | 1.3084 | -0.0757 | 0.4699 | -0.8898 | 0.0100 | 0.0423 | -1.7217 | -0.3137 | 0.2498 | 1.5478 | 1.7694 | -1.3459 | 1.5348 | 0.7935 | -0.4642 | 0.8667 | 0.1160 | -1.2081 | 1.3511 | 2.3827 | 0.9102 | 0.3932 | 0.9807 | 2.3446 | -0.0763 | 1.4632 | -0.3639 | 1.8035 | -1.3871 | 0.5956 | 0.3499 | 0.7188 | 0.8954 | 0.5314 | 0.2894 | -0.3304 | -0.6615 | -1.2603 | -0.0425 | 0.5933 | 0.7699 | -0.5703 | -0.9440 | 0.0473 | -1.0072 | 0.1976 | 0.9896 | -0.3881 | -0.3255 | -0.8265 | -0.1395 | 0.9531 | -1.1159 | -0.9289 | -1.6433 | 0.3773 | 2.0685 | -0.5159 | -0.6684 | -2.1785 | -0.9888 | -0.3857 | 1.7022 | -0.6483 | -0.6928 | 1.6536 | 1.1380 | 0.5648 | -1.3773 | -1.0046 | -0.8426 | 1.4028 | 1.1416 | 0.7129 | 0.7179 | -0.6933 | 0.3848 | 1.1226 | 0.6199 | -0.5636 | -0.2248 | -1.8354 | -0.3477 | 1.8571 | 1.5791 | 0.4811 | 0.8181 | 0.4524 | -1.2788 | 1.1055 | -2.3162 | -0.6441 | 0.1223 | -0.9530 | -3.0977 | -0.4771 | 0.8244 | 0.8455 | 0.6441 | -1.5419 | -0.6294 | 0.9712 | -0.9444 | -1.7017 | 1.6331 | -1.8125 | -1.2604 | -0.0552 | -0.3691 | -0.6909 | 2.0239 | 0.9588 | 0.6897 | 0.1077 | -0.0370 | 0.6171 | -0.6489 | -0.1164 | 0.4630 | -0.4090 | 1.7900 | 0.2470 | -0.3546 | 1.0238 | 0.2358 | 1.1427 | -0.9476 | -1.2651 | -0.7714 | 0.5548 | 0.6814 | 1.7567 | 0.1948 | -0.6953 | -0.9036 | 1.1960 | 0.7855 | 0.5921 | -0.1913 | 0.1293 | 0.2823 | -0.4709 | 0.5260 | 0.4870 | 0.3397 | -0.4680 | -1.4858 | -0.2533 | -0.5647 | 1.0016 | 1.9181 | -1.5531 | -0.6897 | -0.4748 | -1.0329 | -1.4239 | -0.4996 | -0.1144 | 0.3524 | -0.2051 | -1.1161 | -0.4883 | 0.7265 | -0.7276 | 0.2497 | -1.0698 | 0.0784 | 0.7007 | -1.4570 | -0.0459 | 0.0737 | -0.2487 | -1.1688 | 0.3641 | 0.8382 | -0.0362 | -0.7992 | -1.8751 | 1.2144 | 1.4872 | -1.4717 | 0.2536 | 0.7274 | 0.4966 | 0.3669 | -1.1942 | 2.3645 | -1.2127 | -0.2066 | 1.5632 | -1.3183 | 0.0763 | -0.3319 | -2.6372 | -0.4492 | -0.6131 | 0.5240 | 0.1783 | 0.5121 | 0.1392 | -2.8962 | 1.1824 | -2.0625 | -2.1913 | 0.0517 | 0.1164 | -0.2760 | -1.4698 | 0.9617 | -1.0135 | 0.7500 | 1.1098 | -1.0201 | 1.6674 | -0.4948 | 0.7010 | 1.1282 | -0.4692 | 0.5736 | -0.0504 | -0.1060 | -0.4838 | -0.2203 | -0.6441 | 0.7352 | 1.0917 | 0.6659 | -0.2088 | -1.0654 | 0.7347 | -0.5869 | -0.4529 | 0.0440 | -1.4828 | 0.2365 | -0.5579 | -0.8714 | -1.8680 | 1.1920 | -0.1050 | 0.6666 | 0.2630 | 0.2569 | 1.1245 | 0.2595 | -0.8311 | 0.0290 | 0.5412 | -1.6904 | 0.5432 | 2.1932 | 0.0759 | -0.2792 | -1.6307 | 1.0957 | 0.2395 | -1.1087 | 0.6334 | 0.6743 | 0.6274 | -0.0836 | -1.9885 | -1.4780 | 1.9407 | 0.2306 | -0.7347 | -0.2374 | -0.2270 | 1.2231 | 2.0126 | 1.0930 | 2.2686 | 1.5573 | 1.1462 | -1.2096 | 1.7358 | 0.7472 | -0.3973 | -0.2106 | 0.5092 | -1.3864 | -1.4693 | 0.6839 | 0.0458 | 1.1098 | -1.1043 | -1.9076 | -0.5559 | -1.0762 | -1.3347 | -0.2817 | 1.5128 | -1.3221 | -2.7298 | 1.0213 | 0.3349 | 0.0964 | 1.9720 | -1.0216 | -0.7736 | 0.0292 | 2.0331 | 0.7336 | 1.8477 | -0.0737 | -0.3868 | 0.3350 | 0.2672 | 1.2205 | 0.7750 | 0.7401 | -0.4380 | 1.7871 | 0.6602 | 0.2938 | 0.3711 | 0.8025 | -0.8448 | -0.2249 | 0.6163 | -1.1124 | 0.5607 | -0.9656 | 1.0593 | -0.2901 | -1.8487 | 0.5354 | -1.2095 | 0.3873 | -0.4710 | 0.5598 | -0.2635 | -0.8506 | 0.2560 | -1.7367 | -1.3532 | -0.3046 | 1.0082 | -1.6484 | 0.8350 | -0.7645 | 0.0919 | 1.4466 | 1.5221 | 0.0939 | -0.3817 | 0.6973 | 0.9466 | -0.5027 | 0.9616 | -0.0906 | 0.4570 | 0.7891 | 0.9274 | 1.7208 | -0.3119 | 0.0962 | -0.3574 | -0.2681 | -0.8386 | -0.6481 | -0.1350 | -1.2041 | 0.7589 | -0.4234 | 0.9707 | 0.5098 | 0.5401 | 1.0379 | 0.5075 | 1.1074 | -2.8814 | -0.4619 | 0.1056 | 0.0252 | -0.5032 | 0.8239 | -2.4609 | -0.2862 | 0.5911 | 0.0615 | 2.4159 | 0.1001 | 0.0380 | -2.0151 | 0.7800 | -1.6608 | -0.1007 | 0.2797 | 0.5058 | 0.9384 | 0.0440 | -0.3554 | -0.0270 | 0.7288 | 0.7799 | 1.0262 | 0.0105 | -0.9411 | -0.4548 | -2.6622 | -0.5681 | -0.2162 | -0.2223 | -0.4293 | -0.6340 | -0.2241 | -1.0692 | 0.8966 | -0.2750 | -0.4598 | 0.4739 | -1.1028 | -0.5665 | -0.0741 | 0.4640 | -1.4246 | -1.0082 | -1.2962 | 0.3498 | 0.2421 | -1.0993 | -0.9370 | -1.3572 | -0.6441 | -1.5901 | -1.8560 | -0.3709 | -0.6166 | -0.7412 | -1.3515 | -0.1448 | -0.7517 | 0.2756 | -1.2177 | -0.0694 | 1.0745 | -0.6795 | -0.7236 | -0.2063 | -1.9293 | 0.7743 | 0.0451 | 0.0024 | -0.7956 | 0.9331 | 0.5103 | -0.7159 | 1.1055 | -0.3622 | -0.8170 | -0.1663 | 0.4682 | -1.1602 | 1.9802 | -0.0610 | -2.0017 | -0.6872 | -0.1585 | 1.9157 | 0.0825 | 0.9588 | -0.1620 | 0.3237 | -0.3601 | -1.1201 | -0.8693 | 0.4902 | -0.0507 | 0.6674 | 0.6728 | -0.1830 | 0.0810 | 0.0513 | -1.4815 | -0.1797 | 0.6359 | -1.7263 | 0.5082 | -1.3297 | -1.7547 | -0.5675 | 0.8950 | 0.2522 | 0.1026 | 1.8097 | -0.1476 | -0.4055 | 0.4069 | -0.0173 | -1.0950 | 1.0632 | 0.1414 | 1.0019 | 1.7197 | 1.4002 | -1.1475 | -0.3295 | -2.1054 | 1.6803 | 0.8674 | 0.3551 | -0.0176 | 1.4333 | -0.3943 | 1.2925 | 0.5544 | 0.3478 | 1.1149 | 0.6861 | -0.0296 | 0.5487 | -0.4647 | 0.7413 | -0.5516 | 1.1561 | -0.1793 | -0.2705 | 0.9746 | -0.5955 | -1.1038 | 0.0454 | -0.1990 | 0.1821 | 0.5843 | -0.2341 | 0.8556 | 3.4677 | -0.6913 | -0.7875 | 1.7091 | 0.0957 | 0.1448 | -0.4453 | -0.6907 | -1.1122 | 0.1653 | -1.9152 | 1.3883 | 1.6099 | 0.1565 | -0.6685 | 0.3533 | -0.4146 | 2.2783 | 0.1690 | -1.0527 | 0.7501 | 0.5984 | 0.2767 | 0.9362 | -0.3096 | -0.9972 | -0.3854 | -0.2093 | -0.6191 | 0.9758 | 0.4015 | 0.8010 | 0.0204 | 0.6380 | -0.8076 | -0.6480 | 0.0533 | -0.0499 | 0.9053 | 1.0602 | 0.2834 | -0.1211 | 1.2600 | 1.4072 | 0.8161 | -0.0427 | -1.2336 | 0.5391 | 0.6047 | 1.1778 | -0.8906 | -0.7748 | -0.3635 | -0.6081 | -0.1385 | -0.7538 | -1.0966 | -0.6472 | 0.1913 | 0.6154 | -0.7980 | 1.3084 | -0.5410 | 1.6668 | 1.0149 | 1.8432 | 0.6152 | -1.8751 | 0.0004 | -1.1858 | 2.4101 | 0.5737 | -1.3842 | 0.5838 | -1.1195 | -1.4239 | -0.1143 | -0.8263 | 1.4692 | 0.2892 | 0.7416 | 0.6197 | -0.2901 | -1.6335 | -0.2792 | 0.6118 | -1.0493 | 0.4510 | -0.3454 | 0.3075 | 0.9415 | -0.9086 | 0.3825 | -0.4907 | -1.9239 | 0.9842 | 0.5744 | 1.4322 | -1.7962 | -0.3523 | -0.0350 | -1.1485 | -0.2365 | -0.3298 | -1.0638 | 0.4865 | -0.9147 | 1.9563 | -1.6886 | -1.0004 | -1.1251 | -0.3656 |
| 1 | 1 | 67 | 1 | 92 | 0.5168 | 793.7574 | 793.2407 | 0 | -0.0919 | -0.1071 | 0.5028 | 1.6129 | -0.3300 | 0.9572 | -0.2838 | 0.4700 | 0.7443 | 0.8697 | -1.8841 | 1.3512 | -0.2561 | -0.0779 | -0.6074 | -0.2817 | -2.2402 | -0.6022 | 0.2525 | -0.3972 | 0.4806 | -0.0164 | 1.1961 | 1.6831 | 0.5120 | -1.3359 | -0.0740 | -0.2260 | -0.3176 | 1.8096 | 0.1363 | 1.0676 | -0.6393 | -0.1684 | -0.3715 | -1.8788 | -0.3753 | -1.2506 | 0.1896 | -0.7986 | 1.3018 | 1.8075 | 1.3584 | -2.7258 | -0.2786 | 0.1977 | -0.9627 | 2.0001 | 1.4751 | -0.5040 | -1.0958 | -0.5824 | -0.1387 | 0.6523 | -0.1306 | 1.1437 | -1.5158 | 0.7121 | -0.6120 | 1.6279 | -0.5821 | -1.0471 | 1.0066 | -0.5626 | 0.4751 | -0.2667 | -1.1947 | 0.0341 | -1.0879 | -1.1423 | 0.0364 | -0.2992 | 0.2513 | -1.7316 | -0.2305 | -1.1384 | 0.5763 | -0.3662 | 1.4756 | 0.7106 | 1.0542 | -0.5599 | -1.2994 | 0.8689 | -1.0595 | 0.0190 | 1.6044 | 0.8664 | -0.2544 | 0.7420 | 2.4478 | 0.2950 | 1.3221 | -0.0766 | -0.2859 | -1.2975 | -1.7529 | -0.0187 | -0.9946 | 0.3122 | 0.8722 | 0.7351 | 0.1569 | 0.0313 | 0.4163 | 1.2727 | -0.0683 | 0.8840 | -1.4730 | 0.6630 | 0.1550 | -0.3314 | -1.0349 | -1.0508 | -0.8034 | -0.6530 | -0.4050 | -0.5831 | -0.5221 | 0.9092 | 1.3300 | 0.9373 | -0.6672 | -0.8345 | 1.4207 | 0.8792 | 0.1668 | 0.9914 | 0.4740 | -1.9498 | -0.1879 | -1.9811 | 0.2010 | 0.1413 | -0.4116 | -0.1711 | -1.0592 | 0.1886 | -1.6422 | -1.3214 | -0.4076 | -0.2760 | 0.6056 | -2.5481 | 0.2538 | 0.5827 | -0.2195 | 0.8931 | 0.6415 | 1.6585 | 1.5861 | 0.6356 | -1.2426 | 0.7994 | 1.6534 | -1.0917 | -0.4222 | 0.7042 | -0.1933 | 0.5920 | 0.1768 | 0.0168 | -1.7785 | 0.8039 | 0.1876 | -2.6490 | -1.6830 | -0.2488 | 0.3200 | 0.0031 | 0.3382 | -1.1152 | -2.0950 | 0.6576 | 0.9851 | -0.1282 | -1.1237 | -1.0394 | 1.3159 | -1.5269 | -0.4905 | -0.8648 | -0.0400 | -0.9923 | -1.0724 | 1.1572 | 0.4442 | 0.6257 | 0.0944 | 0.5825 | -0.4836 | 0.0455 | 0.8523 | 0.9826 | 0.3928 | -0.9542 | 1.0553 | 0.8553 | -0.6397 | 0.0086 | 0.1119 | -1.8467 | 1.3027 | -0.4155 | 0.4755 | 0.1129 | 0.2641 | 0.9021 | 1.8327 | 1.7512 | 0.2931 | -1.1935 | 1.0055 | 0.5623 | 0.2232 | 0.5946 | 0.2110 | -0.3279 | 0.0461 | -0.2926 | -0.0060 | -0.2419 | 0.2530 | 0.8199 | 1.2606 | 1.2153 | 1.6182 | -1.3634 | -2.2968 | 0.6026 | -0.1622 | 0.5138 | 1.0397 | 0.8312 | 0.5078 | -0.0663 | 0.2480 | 1.4453 | 0.3844 | -1.1632 | -0.1803 | -0.4848 | -0.6492 | -1.5520 | 0.9049 | 0.0983 | 0.5338 | 0.6004 | 0.4764 | -1.3817 | 0.2279 | 1.9922 | -0.7485 | -0.0445 | 0.8883 | -1.1331 | -0.6554 | -0.7432 | -0.6297 | -0.8486 | -0.1800 | 0.2901 | 0.8197 | 0.2377 | -0.0707 | -0.8579 | 0.2413 | 0.8938 | -0.6658 | 0.7437 | -0.6822 | -0.1979 | 0.2114 | -0.8040 | -0.3021 | -0.2807 | 0.0011 | -0.4771 | 0.7992 | 0.1513 | -0.6180 | -0.5783 | 0.4731 | -1.0329 | 1.6039 | -0.6819 | 0.3720 | -0.8507 | -0.1850 | -0.0580 | -2.3111 | -0.3572 | -1.0084 | 1.0049 | -0.5080 | -0.5180 | -0.0203 | 0.8375 | -0.4885 | -0.8299 | -0.0284 | -2.0239 | -0.0993 | -0.0601 | -2.3312 | -0.1398 | 1.1222 | -0.6346 | 0.4684 | 0.0670 | 0.7798 | -2.0561 | 0.7093 | -0.7444 | 0.1811 | -1.2247 | 1.0629 | -0.6772 | -0.1072 | -0.0652 | 2.2353 | 0.0973 | -0.0392 | -0.4827 | -0.4385 | -0.7983 | 0.6764 | -2.7458 | 2.0447 | -1.4289 | -1.6458 | 0.5701 | -0.2546 | 0.1225 | -1.2170 | -0.8472 | 0.9582 | 0.4064 | -1.5427 | -0.2511 | 0.7583 | 0.8692 | -2.0975 | 1.9595 | -0.9122 | -0.3066 | -0.5194 | 0.0114 | -0.6363 | -0.5371 | -0.8723 | 0.0070 | -0.7898 | -0.3645 | -0.0586 | -2.9213 | -0.1840 | 0.7323 | 1.8891 | -0.6423 | -1.9921 | -0.8016 | 1.0179 | 1.6603 | -1.6533 | -0.0052 | 1.0825 | -1.3035 | -0.2243 | -1.7826 | -0.0202 | 1.0204 | 0.7344 | 0.2069 | -1.7633 | 0.6406 | -0.9526 | -0.3141 | -0.2286 | -0.1825 | -0.3281 | 1.0227 | 0.2604 | -0.6430 | -0.4020 | 2.3277 | -0.8204 | 0.9499 | 1.0351 | -1.7310 | -0.2750 | -1.1309 | -0.0215 | -0.3455 | 0.9236 | -0.5058 | 1.9652 | -0.2331 | 0.6086 | -0.4637 | 0.9003 | -1.0145 | -0.1810 | 0.4794 | -0.3631 | -1.7850 | -0.2781 | 0.1220 | 1.5941 | 0.5569 | -0.3984 | -1.8214 | -0.0604 | 1.5682 | -2.4055 | 0.3340 | 0.4415 | 1.3186 | -0.8549 | -0.5680 | 0.0836 | 1.8162 | 0.3464 | 0.6662 | -0.8612 | -1.0304 | 0.0704 | -1.4779 | 1.0156 | -0.7580 | -0.8850 | 0.8725 | 0.4513 | -1.0883 | 0.5705 | 0.6582 | 1.2445 | -0.3871 | 0.2147 | 0.9640 | -1.3352 | 1.2059 | 0.0898 | 0.5882 | -0.4461 | 0.0570 | 0.0751 | 1.0820 | 0.0346 | 0.5137 | -1.0205 | -1.4251 | 0.6449 | -0.4862 | -0.6945 | 0.4935 | -1.0944 | 1.6471 | -0.1309 | -0.9342 | 0.3451 | 0.7417 | 0.5600 | 1.2471 | 0.0282 | 1.3170 | -0.6365 | -1.7957 | -1.0665 | -1.1491 | -0.4228 | 0.1518 | 1.8098 | 0.4888 | -1.5676 | -1.7280 | 0.2520 | -0.2997 | -0.7255 | -0.0338 | -0.2667 | -0.0519 | 1.0602 | -1.1211 | -0.1092 | 1.9620 | 0.5609 | -0.0216 | -0.8696 | -0.0542 | 0.8544 | 2.3654 | -1.9785 | 1.4283 | -0.6975 | 0.7308 | -1.0263 | -0.8433 | 2.0699 | -0.7481 | -0.8070 | -0.8659 | 0.7934 | 0.5747 | -1.3010 | -0.1832 | -0.5956 | -0.6899 | -0.7860 | -0.3038 | 0.6394 | 1.1555 | -0.4570 | 0.7354 | -0.5072 | -1.0086 | 1.2621 | -0.1597 | -0.1011 | 0.0146 | 0.8962 | 0.5769 | -2.9561 | -0.8931 | 1.1849 | -0.3471 | -1.1438 | 2.1451 | 1.5281 | 0.2551 | -1.1173 | 0.3474 | -1.5846 | 1.6282 | 1.0453 | 0.3743 | -0.9266 | 0.6229 | -0.1963 | -0.4479 | -1.4554 | 0.1113 | 0.7030 | -0.1250 | -2.7784 | -1.6565 | 1.2049 | -1.2517 | 0.3171 | -0.0850 | -1.6930 | -0.1842 | 0.9163 | 2.0902 | 0.1624 | -0.5515 | -1.4744 | -1.6486 | -0.8779 | 1.7098 | -0.6159 | -0.3726 | -1.3740 | 0.3660 | 0.0909 | 0.5725 | -1.0587 | -1.8836 | -0.0157 | 1.7854 | 0.6455 | -0.6112 | -0.1577 | 0.4921 | 0.5444 | 1.1255 | 0.3777 | -1.0211 | 0.0274 | 0.9050 | 0.2723 | 0.4776 | -0.8874 | 2.7645 | -0.0142 | 0.7874 | 1.5536 | -1.0964 | -0.9206 | 0.5981 | -1.4151 | 0.8588 | 2.9036 | 0.3231 | 0.1639 | 0.8169 | 0.6195 | 1.4128 | 1.0062 | 0.2152 | 0.8844 | 1.0558 | 0.5814 | 0.9055 | 2.4280 | -0.6461 | -0.5056 | -1.4969 | -1.3140 | -0.7887 | 1.9018 | 2.0489 | 1.2027 | -0.4429 | -1.0477 | -1.1475 | 2.8224 | 0.1563 | -1.9967 | 0.0191 | 2.2271 | 0.1021 | 0.9628 | 1.5427 | 0.6743 | 0.0065 | -0.1522 | 0.2699 | 0.3598 | -1.0836 | 1.1113 | 2.1310 | 0.3913 | 0.1805 | -0.5526 | 0.6971 | 0.3352 | 0.1845 | 1.5754 | -1.3662 | -1.5145 | -0.8847 | 1.6709 | 0.5761 | 0.3367 | 0.5300 | 1.2838 | -0.7184 | -1.3032 | 0.8634 | 1.2816 | 1.2875 | 1.4122 | -0.9494 | -0.0538 | 1.3561 | 0.9767 | 0.3542 | -1.8424 | 1.8933 | 1.1720 | -0.6438 | 0.3151 | 0.1378 | 0.3924 | -0.4439 | -0.3943 | -0.2853 | -0.7644 | 0.4441 | 1.0939 | -1.2390 | 0.8438 | -0.1806 | -1.2546 | -0.1842 | 0.2813 | 0.4566 | -0.2647 | 0.4252 | 0.8825 | 1.4389 | 1.2065 | -0.1454 | -1.0503 | -1.0457 | 1.2553 | -0.1596 | 0.6778 | 0.0344 | -1.1264 | 0.1427 | 0.9495 | 1.0707 | -1.2758 | 0.1384 | -0.8203 | 1.2447 | -1.8352 | -1.1705 | 0.8193 | -1.4866 | -0.5763 | 1.4081 | -0.7072 | 1.1331 | 1.5851 | -1.1553 | -1.0080 | 1.0244 | 2.2711 | -1.1023 | -1.1184 | 0.9326 | 0.5803 | -1.1833 | -0.3422 | -1.4806 | -0.7336 | 0.4652 | -0.6950 | 2.4139 | -0.2167 | 1.5545 | -0.8339 | -2.0365 | 0.5270 | 1.0691 | -0.8286 | 1.0527 | 0.4266 | -0.1831 | 0.5100 | 0.5296 | 0.1443 | -0.4956 | 0.3202 | 0.2483 | -0.1786 | 0.6219 | -0.8967 | -0.1247 | 0.3934 | -0.3567 | 1.7780 | 0.0226 | 1.3668 | -1.1400 | 0.7299 | -1.3144 | 0.5859 | -0.6888 | -0.8006 | 1.4697 | -0.6064 | 0.1288 | 0.4711 | -0.5581 | -0.5125 | 1.3253 | -0.6049 | -1.1689 | 0.7143 | -0.6635 | -1.7750 | 1.5441 | 0.9013 | -1.7557 | 0.6741 | 1.1554 | -1.3475 | -0.7385 | -0.4181 | 0.5287 | 1.9176 | 1.9489 | -0.5615 | -0.6119 | 0.6732 | -0.1308 | 1.3732 | -0.4347 | -0.4638 | 0.8221 | -1.3808 | -1.5488 | 0.6696 | 1.5460 | 1.4647 | -0.2075 | 0.5723 | 0.6369 | -0.6826 | 1.8384 | 2.2253 | -0.3238 | -1.6694 | -0.3025 | 0.8817 | -0.4169 | 1.2055 | 0.7915 | 1.2894 | -1.5550 | 1.3172 | -1.3844 | -1.9968 | -0.8925 | 0.6078 | 0.9632 | -0.0111 | 0.8561 | 0.1562 | -0.1990 | -0.2831 | 0.5543 | 0.2372 | -0.3869 | -0.2295 | -0.4042 | -0.5654 | -0.2854 | -0.4182 | -0.6417 | 1.2929 | -2.1077 | -0.8634 | 0.9156 | 0.8363 | 0.3869 | 0.3058 | -0.9480 | -0.4655 | -2.1782 | -0.5072 | 0.6868 | -2.0210 | -0.2547 | -1.5963 | -0.8387 | 0.9002 | -0.2912 | -0.5273 | 0.5857 | 0.2594 | -1.8714 | -0.1859 | -1.6040 | 1.0128 | -0.0380 | -1.3552 | 0.2957 | -0.9626 | -1.3992 | 0.6496 | -0.8094 | -1.9048 | 0.1938 | 0.1911 | -1.7708 | 0.7683 | 1.0661 | 0.4983 | 0.4895 | 0.2943 | -0.8114 | -0.1598 | -0.7162 | -0.7435 | -0.8199 | -0.0905 | 0.3601 | -0.7985 | -2.1728 | 0.5230 | 0.5751 | 0.2303 | -0.5316 | -1.1438 | -0.4131 | 1.3686 | -0.2122 | -0.0781 | 0.8295 | -0.8005 | 0.1471 | -0.5182 | -1.4640 | 0.3967 | -0.2309 | -1.3496 | -0.4493 | 0.6888 | -1.8188 | 0.6454 | -0.8849 | 0.1318 | 1.7925 | -0.1849 | -1.2716 | -0.7148 | 0.0975 | 0.5570 | -0.7915 | -0.0030 | -1.0645 | -1.4156 | -2.3705 | 2.1732 | -0.1955 | -0.4841 | 0.3766 | -0.3775 | -0.0339 | 0.8425 | 0.0114 | 0.6102 | 0.6893 | 1.5158 | 0.8149 | 0.0223 | -0.2979 | 0.1350 | -1.2245 | -1.0645 | -1.3749 | -1.5346 | 0.3105 | -0.2861 | 0.5285 | 0.3054 | -0.7186 | -0.3955 | -0.7058 | -1.0844 | -0.0859 | -1.0085 | 0.1731 | -0.7323 | 1.6469 | 2.0202 | 0.7829 | 1.1597 | 0.4586 | -0.0659 | 1.2554 | 0.8010 | -0.4715 | -0.0623 | -0.7035 | 0.5093 | -0.1884 | 0.1776 | -1.9683 | -0.6600 | -0.7997 | -1.8995 | 0.4728 | 1.2252 | -1.1123 | -0.1123 | 1.4999 | -0.8132 | 0.2211 | -1.0371 | -1.1227 | -0.3621 | 0.3368 | 1.3343 | -0.0260 | -0.0405 | -1.4786 | -0.9986 | 0.0614 | -0.8505 | -2.2536 | -0.3176 | -0.8304 | 0.0506 | -0.3436 | 0.6369 | 1.0382 | 0.5155 | -0.3108 | -0.9785 | 1.3325 | -0.9512 | 0.0665 | 1.0779 | -0.5930 | 1.7061 | 1.2955 | -0.2756 | 0.9304 | -1.3886 | 1.4885 | 1.0811 | 1.0848 | 0.3991 | -1.9869 | 0.7456 | -0.9897 | -1.3807 | 0.1274 | 1.2168 | -1.6212 | 0.2935 | 0.3462 | -0.7354 | -0.4894 | 0.7922 | 0.1225 | 0.6824 | -0.0953 | -1.2866 | 0.9914 | 0.6760 | -1.3915 | 0.1034 | 0.2912 | -0.5747 | 0.4476 | 0.4588 | 2.4065 | -0.9647 | 1.1257 | 0.2400 | -0.1754 | -1.4978 | -1.4725 | 1.7464 | -0.1767 | 1.9279 | -0.3372 | -0.2678 | 0.4607 | -0.0084 | 0.3420 | 0.9329 | 1.5687 | 1.2633 | 1.2320 | 0.9426 | 0.9067 | 0.5406 | 0.3335 | 0.1082 | -1.2227 | -0.3016 | -1.4430 | -0.3636 | -0.2513 | -0.6050 | -0.6065 | -0.1684 | 0.2764 | -0.0451 | -1.3507 | -0.9084 | 0.1487 | 2.1404 | 0.3252 | 0.4976 | 0.5686 | -0.2393 | -0.6135 | -0.5107 | 0.8416 | -1.4303 | 1.0173 | 1.2343 | 1.7456 | 1.5887 | 0.3031 | 0.9804 | -0.5164 | 1.2603 | -0.4077 | 0.1458 | -1.0730 | 0.0093 | -0.5875 | -1.1014 | 0.6557 | -2.2390 | 1.5742 | 0.8300 | -0.5596 | -0.1887 | 0.3491 | 0.8171 | -1.6001 | -1.1683 | -0.9719 | 0.4479 | -1.7711 | 1.0700 | 1.2171 | -0.4073 | 0.1278 | -0.4758 | -1.3280 | 0.4618 | -0.3094 | -0.3775 | 0.1023 | -0.7046 | -0.1091 | 0.2420 | 2.6752 | 0.0448 | -1.9674 | 1.7393 | 1.2484 | 0.7043 | -0.6131 | -0.3531 | -2.3179 | -1.0847 | 0.4234 | 0.2436 | -1.6109 | 0.2526 | 0.6505 | -0.4506 | 0.3112 | -0.3878 | 0.2089 | -0.1928 | -0.2034 | 1.7668 | 0.3933 | -0.3068 | -1.9768 | 0.6546 | 2.2697 | -1.8512 | 1.1204 | 1.6296 | 0.5181 | -1.3767 | 1.7177 | -1.5865 | -1.0903 | 0.2026 | 0.7149 | 0.9836 | -0.6839 | -0.0968 | -0.3390 | -0.2218 | -1.1733 | 1.0195 | -0.1801 | -0.0465 | 1.1261 | 0.4231 | -1.0015 | 0.7234 | -0.2923 | 0.1495 | 1.3550 | -1.3312 | 2.1345 | -0.2963 | 0.1061 | 0.2206 | 1.3424 | 0.3973 | 2.0458 | 1.9086 | -0.3498 | 0.0935 | 1.3178 | -1.5195 | 0.9798 | 0.1766 | -1.3939 | -0.0222 | 0.1766 | 0.5686 | 0.1105 | 0.1717 | -0.0269 | 0.0691 | 0.0045 | -0.0385 | 2.2885 | -0.2254 | -0.5970 | -0.4061 | 1.2507 | 0.3332 | -0.8047 | 0.0811 | 0.9819 | -0.3469 | -0.8514 | 1.3504 | -0.0926 | 0.9156 | 1.6633 | -0.5396 | 1.5745 | 0.5545 | -0.1366 | 0.6737 | 0.0736 | -0.0112 | 0.2363 | 1.9805 | 1.7603 | 0.7901 | 0.4225 | 0.9183 | 1.9191 | -0.6291 | -0.8681 | -0.0838 | 0.6285 | -1.5637 | 0.2556 | 0.0665 | 0.5784 | -0.9412 | 1.2450 | 0.5523 | 0.3241 | 0.6803 | -1.4065 | -0.9841 | -1.6309 | 3.8056 | 1.4668 | 0.0379 | 0.3839 | 1.1575 | -0.0264 | -0.6675 | -1.8527 | -0.6265 | -0.4336 | -1.1521 | -1.3452 | -1.3677 | 1.1825 | 2.0018 | 0.3669 | -0.4741 | 0.2960 | 0.6465 | 0.3533 | 1.9136 | -0.5429 | -0.6857 | 0.8297 | 0.9947 | -0.8430 | 0.2010 | 0.3631 | 0.8889 | 0.8319 | -1.8071 | -0.3199 | 1.2826 | -0.5346 | 0.3895 | 0.5503 | -0.8572 | -0.4294 | 0.3501 | -0.5350 | -0.5946 | 1.0122 | 0.0267 | -0.8713 | 1.7183 | 0.9940 | -0.7294 | -0.6228 | -0.8944 | 0.4708 | -0.2743 | -0.6535 | -1.7716 | 0.0786 | -0.2304 | -0.6753 | -1.5732 | 0.4268 | 0.0439 | -1.9503 | -0.6481 | -1.3389 | -0.1490 | 0.7609 | 2.2047 | -0.2643 | 0.2799 | -2.5603 | -0.2498 | 1.2316 | 0.1531 | 0.9295 | -1.6846 | 0.5704 | -0.6739 | -0.0243 | 0.4576 | -0.5670 | -1.5462 | 0.7636 | -1.6228 | -0.7382 | 1.1422 | 1.5208 | -1.0375 | 0.1557 | 1.6647 | -0.8529 | 0.8808 | -0.4879 | -0.2141 | -0.6701 | -0.5175 | 0.1135 | -0.7423 | -0.4802 | -1.1118 | 2.3366 | -1.4839 | -0.6923 | 1.5832 | -1.2301 | -1.4142 | -0.8909 | 1.0311 | 0.7654 | -0.6454 | -0.2625 | -1.0460 | 0.7548 | 0.8740 | 0.4081 | -1.0960 | -0.7446 | 0.7368 | 1.0794 | -1.2699 | 0.2363 | 1.0420 | 1.8897 | -0.1787 | 1.0193 | -0.5157 | 0.9706 | -0.0505 | 0.2617 | 1.5859 | -0.4248 | 0.1849 | 1.0382 | 0.7853 | -0.7471 | 0.1098 | -1.1869 | -0.6250 | -0.6786 | 0.0093 | 0.6897 | -0.5441 | 1.4010 | -0.0539 | -0.7943 | 1.2344 | 0.1205 | 0.5260 | -1.0210 | 0.9680 | 0.8185 | -2.2599 | 0.7714 | -0.1844 | 0.4443 | 0.3389 | 0.1244 | -0.6244 | 0.9909 | -0.7990 | 1.0646 | 0.7021 | -0.1633 | -1.7033 | -1.7802 | 0.9815 | -0.4829 | -2.1086 | -2.2636 | -0.2420 | 0.8132 | 0.4466 | 1.6637 | 1.8409 | -0.0112 | -0.5656 | -1.1794 | 2.3984 | -0.5697 | -0.9782 | -0.9689 | -0.3908 | -0.2591 | -1.0836 | -0.7937 | 0.1111 | -1.9074 | -1.9596 | -1.2740 | 0.0762 | 0.8584 | 0.2952 | 1.6482 | 0.6545 | -0.6196 | 0.0683 | -0.3133 | -2.4637 | 0.9091 | 1.7179 | 1.5767 | 0.1696 | 0.6292 | -0.8064 | -0.1909 | -0.6817 | 0.0848 | -0.2990 | 0.5481 | -0.1142 | 2.0305 | 1.6069 | 1.0826 | -1.4812 | 0.7286 | 0.2325 | -0.4721 | 0.4209 | -0.1952 | -0.9056 | 0.4683 | 0.4286 | -1.8369 | -2.1805 | 1.7639 | -0.7523 | -1.4232 | -0.3789 | -0.9180 | -0.3474 | 1.8358 | 1.3599 | 0.1673 | 0.1687 | 0.6520 | 1.9204 | 1.0212 | 0.2119 | -0.5458 | -0.6873 | -0.9033 | 1.6472 | 0.7288 | 0.9088 | -0.6769 | 0.2532 | -0.4546 | -0.2339 | 0.5867 | 1.1864 | -1.1587 | 1.7337 | -0.4865 | 0.3828 | 0.7401 | 1.5281 | 0.1058 | -0.3840 | 0.1028 | 0.3898 | -1.1965 | -0.8172 | -1.2444 | -0.4068 | 0.2472 | 0.5898 | -1.2156 | 2.3639 | 0.5169 | -0.0917 | 0.7300 | 0.0165 | -1.2115 | -1.2775 | 0.5092 | -0.0223 | -1.0367 | -0.6025 | 0.6867 | -0.7543 | 1.0826 | 0.0176 | -0.8951 | 0.9704 | -2.5619 | 0.7575 | -0.5408 | 0.1167 | 0.7243 | -0.4194 | 0.3410 | 0.0743 | -1.2407 | -1.3385 | -2.4282 | -0.8452 | 1.1365 | -0.1230 | -0.8203 | -0.6099 | -0.9863 | 1.6452 | -0.2589 | -0.8838 | 0.6058 | 0.0470 | 0.1134 |
| 1 | 1 | 79 | 1 | 11 | 0.6049 | 950.2584 | 949.6535 | 0 | 0.2741 | -0.8486 | 1.0363 | 0.3175 | -1.7174 | -0.5311 | -0.2262 | -1.2852 | 0.7662 | -0.0107 | 0.8794 | 0.4822 | 1.7315 | 0.5250 | -1.1441 | -0.1152 | 1.5371 | -0.2228 | -0.0496 | -0.5333 | -0.3296 | 0.6803 | 0.0429 | -0.6677 | -0.1724 | 0.0545 | -1.5908 | -0.0103 | 1.2602 | 0.5037 | 0.2769 | -0.4091 | 0.2621 | -0.7350 | -1.1261 | 0.5815 | -0.2844 | -0.0871 | -0.6289 | -0.6891 | -0.8584 | -1.4422 | -0.0934 | -0.5994 | 1.4556 | -0.8685 | -0.4753 | 0.2629 | -0.9313 | -1.2001 | -0.0827 | 0.4353 | 0.4691 | 0.4989 | 0.5394 | 0.0135 | 1.4204 | -1.5381 | 1.4485 | 0.3030 | -0.4229 | -0.3693 | -0.1921 | -0.9521 | -0.7055 | 0.1367 | -0.4126 | -0.7082 | -0.8090 | -0.8174 | -0.9061 | 1.2627 | -0.0072 | -0.0358 | -0.2225 | -0.7660 | -1.3554 | 0.7521 | -0.0611 | -0.2712 | 1.4778 | -0.9471 | -0.0334 | -0.1416 | 1.0992 | -1.8339 | 0.2424 | 1.4162 | 2.1438 | 1.2343 | -0.9861 | -0.2633 | 0.3871 | 1.4431 | 0.2257 | 0.7327 | -1.2298 | 0.1768 | 0.2331 | 0.5917 | 1.2573 | 0.7687 | -1.4511 | -0.0918 | -0.0118 | 0.5321 | -1.7829 | -1.1845 | -1.1149 | -0.5380 | 1.0126 | 0.1039 | 0.8398 | -0.8114 | 0.8149 | 1.7179 | -0.3091 | -0.9367 | -0.9158 | -0.4145 | 0.7569 | -1.1537 | -1.6670 | 0.8709 | 2.8896 | -0.1239 | 2.0865 | -0.3451 | 0.3534 | -1.6422 | 1.8258 | 1.0962 | 0.2696 | 0.2036 | 0.5288 | 0.4735 | 1.7124 | -0.4017 | -0.7059 | 0.1117 | 0.9130 | -1.0299 | 1.8701 | 0.0907 | 0.2329 | -0.0194 | -0.3366 | -1.1537 | -1.2301 | -1.3086 | -0.8732 | 1.8573 | -0.7144 | -0.4808 | -0.0386 | 0.1916 | -0.0314 | 0.5089 | 0.4434 | 1.9106 | -0.6012 | 1.5627 | -0.1822 | 0.0783 | 0.4914 | 0.2678 | 2.5548 | 0.4144 | -0.0257 | -1.0160 | 0.8375 | -0.5981 | -1.5882 | 1.1876 | 0.5583 | -0.9729 | 0.0352 | 0.0326 | -0.3434 | -0.7140 | 0.6965 | 0.9617 | 1.0958 | 0.1700 | 0.2599 | -0.6097 | -1.6511 | -0.4119 | 1.4049 | -0.1070 | 0.8465 | 0.5018 | -1.4309 | 0.0624 | -1.6538 | -0.3054 | -1.3341 | -1.4536 | -0.2489 | -0.0559 | -1.0331 | -1.0618 | 0.4998 | -1.2882 | 1.2764 | 1.0855 | 0.9946 | -1.0242 | -0.1555 | 0.1682 | 0.1746 | 0.8507 | 0.1546 | 0.3878 | -0.0909 | 0.4086 | -0.4045 | -1.7309 | -0.5969 | 0.4909 | -0.4645 | -0.3358 | 1.2606 | -0.2181 | 3.0267 | -0.7782 | -0.3992 | 0.7738 | 0.8643 | 0.2940 | 1.6011 | -0.6957 | -0.0219 | -0.7520 | 0.0415 | -0.7311 | 0.0653 | 1.1521 | -0.1867 | -2.8521 | 0.2453 | -1.0731 | 0.7247 | 1.7053 | -0.3633 | 2.9219 | 0.4548 | 1.3916 | 0.2253 | 1.3831 | -0.4116 | 0.8884 | -0.9404 | -1.0355 | -0.6492 | -0.7619 | -1.2757 | 0.0954 | 0.7442 | 0.3641 | -2.0575 | 0.8517 | -1.6542 | 1.1203 | 0.3507 | 0.9152 | 0.8049 | -0.9369 | 0.1488 | 0.0820 | 0.0088 | -1.1836 | -0.7314 | -1.0719 | -1.1511 | -0.2262 | -1.3184 | 2.4381 | -0.3917 | 0.0126 | -1.2385 | -1.4446 | 2.5054 | 1.1768 | 0.3639 | -0.0460 | -0.9683 | 0.0509 | -0.8833 | -0.0358 | 0.1603 | -0.0664 | -0.9592 | 0.1772 | 0.3582 | 0.2858 | 0.1073 | -0.3454 | -0.2745 | 0.3635 | 1.8717 | 0.5227 | -0.2049 | -0.3470 | -1.2010 | 0.0041 | -0.0295 | 1.9419 | 0.3713 | 0.7002 | 0.1933 | -1.4354 | 2.1641 | -2.8096 | -0.7776 | 0.8548 | -0.1589 | 1.0391 | 0.5610 | 1.1725 | -1.3487 | -0.8949 | -0.6260 | -2.3640 | -1.6745 | 0.2693 | -1.7233 | -0.1981 | 2.6143 | -0.1731 | -1.7478 | 0.9083 | -0.1903 | 0.9701 | 0.6356 | -2.1175 | 0.5068 | 1.4099 | 0.7064 | 1.0090 | -1.7584 | -2.5681 | 0.8937 | 1.3198 | 0.9580 | 0.5879 | -0.5673 | 0.5547 | -1.1689 | -2.3349 | -0.6168 | -0.4514 | -0.9680 | -0.6921 | 0.0227 | 1.5672 | 0.0043 | 0.9073 | 0.4559 | -0.2783 | 0.4091 | 0.8150 | 0.5915 | -0.6647 | 1.8461 | -1.8302 | -1.1512 | 0.2378 | 0.2393 | 0.4804 | -0.9664 | -0.6273 | 0.2472 | 0.1991 | -0.2522 | 0.2837 | 1.0755 | 1.3395 | 0.5523 | -1.4498 | -0.7707 | -1.0269 | 0.4940 | 1.3707 | -0.3515 | 1.1339 | 1.8968 | -1.3659 | 1.0520 | 1.3509 | 1.4209 | 1.6677 | 0.3900 | 0.8564 | -0.8610 | 0.0773 | -1.0407 | -0.1644 | -1.1450 | 0.8580 | -0.8670 | 0.0132 | -0.8019 | 0.9607 | -0.7704 | 0.8806 | 1.6991 | -0.1939 | -1.8383 | -0.2317 | 1.2757 | -0.1363 | 1.3962 | -1.2672 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1.7786 | -1.0266 | -0.0272 | -0.2889 | -0.4880 | -1.4482 | -0.6970 | 0.8167 | -1.1032 | 1.9197 | -0.5495 | -1.0731 | -0.3063 | 0.1109 | -1.1242 | 0.2047 | 0.5139 | 2.2936 | 0.8696 | -2.0496 | -1.3045 | 0.5434 | -2.7108 | -0.8482 | 0.8845 | -0.3141 | -0.3011 | -1.1573 | -0.6394 | -2.3283 | -0.3362 | 0.8797 | -0.7703 | -0.2692 | -0.0234 | -1.8583 | -0.0393 | -0.6184 | -0.8760 | 0.5296 | -1.7365 | -0.0205 | 1.0479 | 0.6232 | -1.1838 | 0.0179 | -0.2889 | 0.2832 | -0.3583 | 0.1660 | -1.6528 | -1.2621 | 0.0742 | -0.1629 | -0.5875 | -0.4319 | 1.6446 | -0.1655 | 1.2725 | -0.4452 | 0.2905 | 0.6440 | -0.6111 | 0.4986 | 0.0484 | 0.1586 | -0.7951 | -0.1543 | -0.2949 | -0.0353 | 0.9626 | 0.3465 | -0.9541 | -0.2966 | 1.7955 | 0.1512 | -0.2706 | 0.9829 | -0.1743 | 0.0913 | -2.4619 | -2.3429 | -0.4675 | 0.9426 | -0.0095 | 0.5453 | 1.0560 | -0.1609 | -0.1504 | 0.1351 | 0.3178 | -1.7206 | -1.1646 | -0.5644 | -1.1203 | -0.7785 | 0.0757 | 1.3899 | -0.5079 | 0.1544 | 0.9678 | -0.0076 | 0.0997 | -0.9713 | -0.8690 | -0.2396 | 0.0267 | 0.7142 | -1.0542 | 0.6131 | -1.7373 | -1.5399 | 1.0067 | 1.0924 | 0.1517 | 0.0904 | 0.2771 | 0.3146 | 0.8149 | -0.4027 | -0.2186 | -0.7452 | 1.9634 | -0.9882 | -1.9531 | 0.7856 | -1.5336 | 0.4978 | -0.6695 | -1.3758 | 0.7835 | 0.6796 | 1.1176 | -0.2181 | -0.4061 | 0.2707 | 0.5368 | -1.2123 | -1.4543 | 1.1036 | 1.2930 | -1.0169 | -1.7428 | 0.3190 | -1.1217 | 0.3409 | 0.6376 | 0.4818 | 0.7004 | 1.0216 | -2.5544 | 1.2776 | -0.0422 | 0.1306 | 0.2398 | -0.8457 | 0.4617 | 1.3717 | 0.9549 | -0.3159 | -0.4796 | -1.5764 | 1.8744 | -1.2751 | -1.6904 | 1.2130 | -0.5600 | -0.8322 | 1.1852 | 1.2321 | 0.3014 | 1.2741 | 0.2127 | 1.3390 | 0.1833 | 1.1116 | -0.3606 | -0.5942 | 1.6016 | 0.4367 | 1.1665 | 1.6064 | 0.2568 | -1.0984 | -0.7597 | 0.4669 | 2.2002 | 1.1174 | 0.1551 | -0.8898 | 0.8723 | 0.9278 | -0.2547 | -0.1272 | 0.2966 | -0.5208 | 2.8111 | 0.6621 | -1.4803 | 1.1184 | -0.8445 | -0.9265 | -1.1403 | -0.8528 | -0.1562 | -0.4485 | -0.2730 | 0.8292 | -1.5428 | 0.0844 | 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1.1953 | 0.2963 | 0.4539 | -0.1460 | 1.1448 | -1.1021 | -0.7142 | 2.8849 | 1.6248 | -1.1622 | 1.3926 | -0.5466 | -0.6952 | -0.5510 | -1.6171 | 0.4606 | -1.6897 | 0.5488 | -0.0513 | 0.9757 | -0.5149 | -1.4982 | -1.6563 | -0.4336 | -0.6197 | 0.2433 | 0.9864 | -0.9140 | 0.6335 | 0.0092 | -0.6077 | -0.8907 | 0.1285 | 1.5683 | 2.9509 | -1.2402 | 0.8903 | 0.7569 | -1.8056 | 0.3137 | -0.9302 | 0.6197 | -1.7458 | -0.0485 | 0.3634 | -0.6303 | 1.8499 | 2.9909 | 1.1468 | 0.7394 | -0.9476 | 0.8920 | 0.3455 | -0.6467 | -0.4235 | -2.1953 | 2.3934 | 1.7816 | -0.8683 | -0.0226 | 0.8205 | 0.5024 | -0.4931 | 0.5979 | 1.3115 | 0.3340 | 0.6278 | -1.0618 | -0.3712 | 1.8596 | -0.1880 | 1.7723 | 0.7639 | -0.2838 | 2.6062 | 1.2633 | 1.7711 | 0.1926 | 0.3313 | 0.9925 | 0.9758 | -0.6164 | -3.2159 | -1.1962 | -0.7668 | -0.4455 | -0.5832 | -0.9964 | 0.6337 | -0.5567 | 1.6317 | 1.3350 | -0.2132 | 1.5546 | 1.6877 | 0.5328 | -0.6248 | -0.0203 | -0.0527 | -0.6364 | 0.6255 | -1.5889 | 0.0863 | 0.2149 | -0.4489 | 1.8054 | 0.9496 | 0.6605 | -0.9946 | 0.1578 | -0.7765 | -0.9476 | 1.5971 | -0.7052 | 0.5851 | -0.3657 | -1.5865 | -0.9537 | -1.0214 | -0.4843 | 1.3300 | 0.9891 | 1.5684 | -2.0051 | 0.8475 | 0.6596 | -0.1217 | -0.6237 | -0.9731 | 0.8905 | 0.8120 | -0.6280 | 0.3064 | 0.8910 | -0.3319 | -0.1035 | -1.8106 | -0.1888 | -0.1615 | -0.9465 | 1.4051 | 0.8399 | -0.4504 | 0.0169 | 0.9990 | 1.2113 | 0.5948 | -1.3458 | -0.2952 | 0.7956 | 0.2437 | -0.5537 | -0.7023 | -2.2116 | 0.5586 | -0.8749 | -1.8504 | 1.7181 | 1.5938 | -0.4502 | 0.3277 | 0.9494 | 0.0615 | 0.1337 | -1.0157 | -1.2996 | -1.3648 | -0.8524 | 2.7941 | -2.2009 | -1.7606 | -0.0629 | -1.8504 | -0.7110 | 0.3799 | -0.8733 | -1.2304 | -0.5718 | -1.5547 | 0.5718 | 1.4165 | -1.1506 | 1.7232 | -0.3307 | -0.3175 | 0.8729 | 1.5532 | 2.4207 | 1.5803 | -2.0003 | -1.6247 | -0.3599 | 0.7374 | 0.2578 | -3.0525 | 0.0890 | -0.4645 | 0.3424 | 0.4270 | 0.7205 | -0.8986 | -2.2327 | 1.0893 | 0.0140 | -0.7349 | 0.6047 | 1.4721 | -0.1381 | -0.1154 | -1.6889 | 0.4849 | -0.4900 | 1.0114 | 1.0877 | -2.1228 | 0.9972 | -0.3915 | -2.3086 | 0.3500 | -0.1825 | -0.4229 | -1.0784 | 1.1039 | 0.4331 | -1.3469 | -0.1153 | 0.5081 | 2.3092 | 0.1877 | -1.3312 | -1.1546 | 0.3832 | -0.2859 | -0.4813 | -2.2361 | -0.2497 | 1.8593 | 0.7523 | 0.4214 | -0.6897 | -2.3593 | 0.7435 | 1.0430 | -1.1637 | 1.0348 | 0.2143 | 0.2464 | 0.0606 | 0.1722 | 1.4242 | -0.1145 | -1.2632 | 0.7629 | 2.4877 | 1.0926 | -0.2348 | 1.1967 | -0.7652 | -1.0529 | 1.7931 | -0.4142 | -0.8418 | 0.3227 | 0.2067 | 0.5578 | 0.5903 | -0.5683 | -0.8355 | 0.4425 | -0.7094 | 0.2966 | -1.0529 | -2.8206 | 1.0790 | -0.7809 | 0.0332 | -0.3014 | -1.4002 | 1.9333 | -0.7737 | 0.9043 | 0.0719 | 0.5940 | 0.5544 | -0.6302 | 0.2564 | -1.1127 | 0.9317 | 0.7569 | -0.5395 | -0.7036 | 0.2892 | -0.4499 | 0.0275 | -0.9781 | -1.2881 | -0.8156 | 0.3816 | 0.0607 | 1.6808 | -1.1566 | -0.2948 | 1.3801 | 0.5905 | -0.4110 | 1.3076 | -0.6699 | 0.5183 | -0.4342 | 1.6812 | -0.4569 | -0.9148 | 0.8307 | 0.6866 | -0.1873 | 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1.0689 | 1.5573 | -0.3539 | -1.0933 | 0.4847 | 1.5293 | -1.7729 | -1.1377 | -0.0052 | -0.4029 | 0.1557 | -0.8596 | -1.0062 | -1.0299 | 2.0908 | 0.8428 | -0.5132 | 1.6471 | 0.8661 | -0.8962 | 0.6827 | 1.2878 | 0.1363 | -0.5968 | 1.2108 | 0.3011 | -1.1871 | -1.1023 | 1.4563 | 1.7408 | -1.3757 | -1.0629 | 0.1726 | -1.8947 | -1.0777 | 0.2290 | -0.2756 | -0.0775 | -1.8834 | -2.1347 | -0.2206 | 0.2382 | -1.7722 | 1.0469 | 0.5067 | -0.8783 | -0.3744 | -0.1239 | -1.1840 | -0.2958 | -1.7252 | 0.1963 | 1.3262 | -0.5577 | -1.9403 | 0.5420 | 1.0179 | 0.1528 | 0.0899 | -1.3746 | 0.0659 | 0.2027 | -1.2944 | -0.1483 | -1.5151 | 0.8814 | 0.2764 | -0.6545 | -0.6329 | -0.3312 | -1.9236 | -0.0200 | 0.8083 | 0.1948 | -0.7290 | -0.3427 | 0.9949 | 0.1137 | 0.2918 | 1.0076 | -0.4824 | -0.8730 | -1.6543 | 0.0612 | -0.5766 | 1.0913 | -0.5447 | 0.5742 | 0.7452 | -2.2830 | 0.4239 | 0.2985 | 0.3144 | 1.2778 | -0.2238 | -1.1319 | -0.5791 | -0.2281 | 0.8639 | 2.4758 | -0.0038 | -1.6087 | 0.1326 | -1.2241 | 0.0526 | 1.5032 | 0.8461 | -2.3068 | 0.0139 | -0.5685 | 0.8485 | 0.5291 | 1.0992 | 0.3930 | -0.9946 | 0.6785 | 0.8633 | -0.0290 | 0.0539 | -0.7912 | -1.1125 | -0.1208 | -0.9542 | -0.3684 | -1.3793 | 0.7013 | -1.1650 | -1.5632 | 1.8928 | -2.2652 | 0.1957 | -0.3308 | -0.1166 | -1.2622 | -0.7002 | -1.0366 | -0.3278 | -0.7134 | -1.2205 | -0.1360 | 1.4676 | 2.6147 | 0.2874 | 0.1569 | 1.8539 | -0.1157 | 0.7570 | 1.8922 | 1.0999 | 0.3819 | 1.4779 | 0.4917 | -0.5675 | 0.6545 | -0.9104 | 1.3944 | 1.3207 | -0.5579 | 2.1653 | -0.1534 | 1.2299 | 1.2167 | -0.3981 | 0.0245 | 1.4592 | -0.6132 | -1.4624 | -0.3995 | 0.0014 | 0.6314 | 0.0909 | 0.3591 | -1.6738 | -0.1007 | -0.4301 | 1.6736 | 0.3182 | -0.3213 |
| 1 | 1 | 9 | 1 | 77 | 0.6238 | 958.2042 | 957.5804 | 0 | -0.0753 | 0.5036 | 0.3316 | -0.7307 | 1.4959 | 0.5323 | 0.5059 | 2.3851 | -1.3438 | 0.2287 | -0.8523 | 1.0569 | 0.3454 | -0.3711 | 1.5127 | 0.4215 | 0.2512 | -1.4855 | -0.3445 | -0.5859 | 0.6686 | -1.8529 | -1.3110 | -0.1039 | -1.0466 | -0.5325 | 0.6331 | -0.5758 | -0.8491 | 0.6301 | -0.7380 | 1.3557 | -0.3111 | -0.6562 | 0.5367 | -1.7417 | -0.8438 | 0.3620 | 1.5188 | 0.1542 | -0.4238 | 0.1213 | -0.4766 | -0.9696 | 0.1360 | -0.1922 | -0.7141 | 0.3294 | 1.9663 | 0.2687 | -0.3884 | -1.2364 | 0.3143 | 0.1320 | 1.2190 | -0.5757 | 1.0402 | 0.5181 | -1.7384 | 0.0171 | 1.1089 | 1.2045 | -1.0559 | 0.4999 | -0.0447 | -2.1348 | -1.7160 | -0.0635 | 1.0787 | 1.2182 | -0.1502 | 0.2115 | -0.6818 | -1.2169 | 0.4052 | -0.2351 | -1.2699 | -0.9772 | 0.5684 | 2.2795 | 1.6214 | -0.0232 | -0.9446 | 0.4601 | -0.5128 | 1.4107 | 1.3582 | -1.6274 | -1.6746 | -1.1302 | -1.1008 | 1.2157 | -0.5228 | -1.6052 | 0.4773 | -1.5565 | -1.1891 | 0.1336 | -1.3408 | 0.4532 | -0.1516 | -1.1201 | 0.5089 | -0.7584 | 1.0275 | 1.0974 | -0.4034 | -0.2248 | -0.3600 | -0.7419 | -0.2727 | -0.7116 | -1.0969 | 1.7427 | -1.2237 | 0.4023 | 0.5622 | 0.0457 | -0.6849 | -1.1432 | -0.0844 | -1.6265 | 2.1906 | 0.4827 | 0.0577 | -0.1878 | -0.7885 | -0.0651 | 2.1108 | -1.6075 | -1.5272 | -1.2084 | -0.6254 | 0.3528 | -0.9092 | 0.4754 | 1.9612 | 0.1750 | -1.0266 | 1.5388 | 0.7563 | 0.5017 | 1.0535 | -1.6064 | 0.8384 | 1.4202 | 0.4761 | -1.4005 | 0.3151 | -0.8746 | -0.0169 | -0.9644 | 1.1801 | 1.2850 | -0.6611 | -1.2286 | 1.1652 | 0.4007 | 0.1127 | 0.3119 | -0.3446 | -0.1508 | 0.2983 | -0.1871 | 0.4678 | 0.9363 | 2.0859 | -1.3932 | 0.7402 | 0.4344 | -0.0152 | -1.2562 | -0.2526 | -0.8204 | -1.3685 | -0.1136 | -0.1382 | -1.6730 | 1.2285 | 0.3172 | 1.3714 | -0.5760 | -0.0395 | -0.6501 | 0.8649 | -0.8151 | -0.8423 | -0.1302 | 0.7726 | -1.6537 | -0.1190 | 0.2153 | 0.1433 | -0.9751 | -0.2628 | 0.4695 | 1.2554 | -0.1824 | -1.1112 | -0.9377 | 0.6980 | -0.3739 | -0.3738 | 1.6180 | -0.3518 | -0.7657 | 0.7592 | 0.3995 | 0.4336 | -0.4341 | 1.5845 | 0.8050 | -0.0609 | -0.3354 | -0.0257 | -0.3459 | 0.9222 | 0.3058 | 0.3542 | -1.1281 | 1.3981 | 0.9383 | 0.7901 | -1.9831 | 0.6646 | -0.0409 | -2.6628 | -0.2114 | 1.3650 | -0.4927 | 1.6880 | 0.2265 | -1.4447 | -0.0834 | -0.9722 | -0.3819 | -0.2343 | -0.3158 | -1.0874 | 0.7459 | -0.3120 | 0.2789 | -0.9403 | 0.5848 | -0.1388 | -0.3629 | 0.5349 | -0.0176 | 0.7160 | 1.1754 | -0.1679 | 0.8834 | -2.0210 | -1.0680 | 0.1310 | -0.5173 | 0.9316 | -0.5081 | -0.4798 | 1.3073 | 0.2115 | -0.9925 | -0.3977 | 0.8943 | 0.0239 | -1.6238 | -1.4032 | 0.2162 | 0.8807 | 0.7727 | -1.5032 | 0.1280 | 0.4592 | 1.0830 | 0.1856 | 1.2775 | 0.0170 | 0.0878 | -0.1321 | -0.5733 | -0.0290 | -0.3364 | 1.3960 | 0.3443 | 0.6467 | 0.2514 | 1.3539 | 0.8928 | 0.0707 | 0.4759 | 2.3244 | 1.6227 | -0.8442 | 1.1663 | -1.1063 | -2.3582 | -0.6523 | -0.2435 | -0.3416 | -0.4431 | 0.8760 | -0.0982 | -0.8386 | 0.4222 | -0.4885 | -0.6073 | -0.5482 | -0.1766 | 0.1406 | -1.4733 | -0.6103 | 0.1180 | 0.1814 | 0.7282 | 0.8607 | -2.0843 | 0.2491 | -1.0400 | 0.5656 | -0.8569 | 0.4092 | -0.7872 | -0.3533 | -0.6583 | -0.2407 | -0.3294 | -0.4081 | 1.4076 | -1.1733 | 1.0059 | -0.3939 | 0.2748 | -1.0100 | -0.6856 | 1.2202 | 0.8483 | -0.5728 | -1.6491 | -1.1886 | 0.4483 | 0.1427 | 0.4569 | 0.9150 | -0.3188 | 0.3667 | 1.2635 | 2.6779 | 0.1819 | 0.4850 | 1.2833 | 0.2128 | 1.2461 | 0.5760 | -0.7504 | 0.1710 | -0.6256 | 1.6107 | -0.5392 | -0.2674 | 0.1134 | -2.3285 | -0.5403 | 0.4533 | 1.4819 | 0.2847 | -1.5803 | 0.0805 | 1.5657 | -1.0229 | 0.2712 | 1.1003 | -0.1872 | 1.1398 | 0.0990 | -0.9217 | -1.6162 | -0.6253 | 0.7189 | 1.0379 | 1.3450 | -0.5166 | 0.0174 | -0.6635 | -0.8125 | -0.1673 | 1.1663 | 0.4619 | 0.2353 | 0.3061 | 0.1619 | -1.0781 | -1.1081 | 0.1419 | 0.1687 | 1.1285 | -0.3521 | -0.4014 | -1.3184 | 0.0762 | 1.2280 | 0.2030 | -0.5611 | -1.9505 | -0.9068 | 1.0345 | -0.6220 | -0.0132 | 1.1725 | -0.8568 | 1.7692 | -1.1727 | -0.5881 | -0.0567 | 1.8757 | -1.6271 | -0.0021 | 1.9976 | -0.1488 | -2.2468 | -1.2565 | 0.2583 | 1.8448 | 1.2007 | -0.1828 | -0.4241 | 0.5701 | 1.7048 | -1.0480 | 2.1495 | -0.7527 | -0.5257 | 0.8890 | 0.0407 | 1.6254 | 1.5423 | 1.4180 | 0.0266 | 0.7832 | 0.2075 | -0.0085 | -0.5254 | -0.3361 | 0.9291 | -1.2056 | 0.9824 | -1.1337 | -0.9600 | 0.6415 | 0.0681 | -1.4952 | 0.3272 | -1.5488 | 0.7208 | 1.2513 | -0.6260 | 0.3583 | 0.8023 | -0.1980 | -1.3060 | -0.6822 | -1.8588 | -1.2125 | -0.3173 | -1.5120 | 1.2364 | 0.0564 | 0.7673 | 0.4777 | 0.2024 | 0.3854 | 0.0403 | -0.1499 | 0.7222 | 0.2567 | 0.5104 | 2.5029 | -0.2074 | -0.4089 | -0.8971 | -0.7724 | 0.9071 | -0.0579 | -1.2553 | -0.0434 | -0.8817 | -0.0009 | 1.5988 | 0.2441 | 0.0029 | -0.4548 | -0.4172 | 1.8147 | 1.3386 | -0.3237 | 0.9356 | 1.5732 | -1.1266 | -1.0931 | -0.7952 | 2.2222 | 0.6390 | -1.9275 | 0.9479 | 0.4204 | 1.0178 | 0.7032 | -2.5937 | 1.8284 | -0.7632 | -0.4184 | -0.3110 | -0.0081 | 1.0623 | 1.0988 | -0.6305 | -0.7929 | 1.8389 | 0.5191 | -0.5215 | 1.1804 | 1.2643 | 0.0633 | -1.6064 | -0.7957 | 0.9062 | -1.1344 | 1.4727 | 0.3182 | 1.0896 | 0.4193 | -0.0110 | -0.1489 | 0.1381 | 1.4860 | 0.9082 | -0.0815 | 1.1555 | -0.1388 | -0.5158 | -0.2509 | -0.3326 | -0.6921 | 0.5108 | 0.4141 | 0.1739 | -0.4605 | -1.5496 | -0.2961 | -0.9946 | 0.6497 | 1.1445 | 0.4693 | 0.6763 | -1.1498 | 1.0428 | -0.9306 | 0.4558 | 0.7642 | -2.5556 | -1.2712 | 0.3182 | 0.1047 | 1.8630 | 1.6118 | 0.1094 | -0.4064 | -0.5681 | 2.1153 | 0.8650 | 0.9191 | 0.2515 | 0.7990 | -1.4792 | 1.8272 | -0.5900 | -1.0990 | 0.7776 | -0.2238 | 0.1809 | 0.6011 | 0.5475 | 0.0796 | -1.9252 | -1.3273 | -0.7886 | -0.1895 | 1.3154 | -0.1092 | -0.1525 | -1.4651 | 0.6736 | 0.8056 | -0.9735 | -0.2390 | 0.3310 | -0.0835 | -0.8144 | -0.6567 | -0.7561 | 0.0692 | 0.3584 | -0.5085 | 1.0765 | -1.7365 | -0.7736 | -0.0951 | -0.2542 | -0.7576 | -0.9912 | -0.0898 | -1.3154 | -1.4988 | -0.4359 | 0.3193 | -1.6997 | 1.0040 | -0.6369 | -0.3300 | -0.6580 | -0.0020 | 2.3520 | 0.7722 | -0.9243 | -0.2072 | -0.5404 | -0.0702 | -1.2360 | -0.3208 | -0.1449 | 0.2703 | -1.2710 | -2.0051 | -0.2452 | 0.5471 | -1.0993 | 1.4294 | -0.7699 | 0.3614 | -0.9728 | 2.5568 | 1.5294 | -0.2256 | -0.1170 | 0.6835 | -0.2282 | -0.8015 | -0.1113 | 0.4201 | -1.3736 | 0.5081 | 0.4685 | -0.6436 | 0.4873 | -0.0225 | 0.5460 | -1.1054 | 1.1920 | 1.3097 | -0.2799 | -0.0894 | 1.2265 | 0.1751 | 1.3451 | 0.6032 | 1.1398 | 1.4386 | -1.5695 | -1.0169 | -0.0976 | 0.9372 | -1.2158 | -1.2745 | 0.6184 | -0.4936 | -0.6713 | -0.2649 | 0.0742 | -0.1462 | 0.7427 | -0.8630 | 0.1133 | 0.0867 | -0.7854 | 0.1184 | 1.1305 | -1.1997 | 0.5799 | 0.1062 | -0.9909 | -0.7239 | -0.8115 | -0.3827 | 0.3943 | -0.6974 | -0.1245 | 0.1903 | 3.3073 | 0.6776 | -2.2584 | 0.2516 | 1.0163 | -0.3647 | 0.3435 | -1.2502 | -0.5603 | 0.4328 | 0.6188 | 0.7406 | -0.0732 | 0.8983 | -0.0384 | -0.4510 | -0.1751 | 0.4897 | 0.0763 | -1.4176 | 0.6004 | -1.5159 | 0.4686 | -0.0621 | 0.7913 | 1.3445 | 0.5151 | 0.4227 | 1.7809 | -0.4216 | -0.1229 | 0.1540 | 0.6325 | 0.4126 | 0.4129 | -0.3274 | 0.4178 | 0.3588 | -1.2460 | -1.8083 | 0.7325 | 0.6991 | -0.4328 | -0.6821 | -1.3667 | 1.1418 | 1.0248 | 2.5677 | 0.0130 | 1.1906 | -0.0866 | 0.2474 | 0.3219 | 0.7110 | 0.8931 | -0.1535 | -0.4395 | 0.3536 | 1.1455 | 0.3030 | -0.1367 | -0.7198 | -0.8241 | -0.1740 | -0.7642 | 0.6739 | -1.3903 | -0.4494 | -0.7832 | -0.6438 | 1.4388 | 0.9321 | 0.5302 | -0.0352 | 0.2068 | 1.2597 | 1.0495 | -1.0930 | 1.4096 | 1.0638 | -1.6681 | -0.2380 | 0.6650 | 0.2566 | 0.1357 | 1.7411 | 1.2408 | 0.5794 | -0.2763 | 0.6223 | -0.8900 | 1.4990 | -1.2422 | -0.0341 | -1.1761 | -0.7243 | -0.7020 | -1.8366 | -1.1025 | -1.2099 | 0.9016 | 2.0020 | -0.3108 | 1.5130 | -1.5897 | -1.2038 | 1.2511 | -0.1379 | 1.9707 | -1.2844 | 0.5815 | 0.0513 | -0.7597 | 0.3772 | 0.7184 | 0.5420 | -0.0859 | 0.3685 | 0.2957 | -1.4531 | -0.1251 | 0.2288 | -0.3400 | -0.7877 | -0.3816 | 1.0356 | 0.0952 | -0.2825 | -1.1055 | 0.8247 | 0.6205 | 0.3206 | 0.9080 | -0.4159 | 0.1309 | 0.6459 | 0.5648 | 0.6850 | 0.4468 | -1.7895 | -0.1368 | -0.0277 | -0.3569 | -0.5056 | -0.2154 | 1.1216 | 0.2360 | -0.6230 | -0.1241 | 1.0729 | -1.2276 | -0.0911 | 1.1306 | 1.2001 | 0.4682 | -0.1983 | -0.9423 | -1.7620 | -0.0264 | -0.4454 | -1.7578 | 1.0514 | -1.4740 | -0.2132 | 0.3634 | -0.2683 | -0.1206 | 0.5060 | 1.1071 | 0.5591 | 0.4725 | -0.7917 | -0.3741 | 0.8050 | 1.6548 | -0.2219 | -0.6907 | -0.6884 | 1.2535 | -1.0167 | -0.7452 | 0.3306 | 1.3944 | -0.8038 | -1.1007 | -0.3626 | 2.3281 | 0.6408 | -1.1824 | -1.0280 | 0.1188 | 0.9858 | 1.9381 | -0.8797 | 0.8358 | -0.6137 | 0.0253 | 1.8195 | 0.6432 | 0.6734 | 1.2736 | 0.5791 | -1.3064 | -0.5884 | 1.7799 | -1.4423 | -0.3231 | -0.6148 | 0.7295 | 0.4203 | -0.5416 | 1.2507 | -0.5179 | 0.4679 | -0.0626 | -0.1720 | 0.7710 | 0.1657 | -2.1524 | 0.4975 | 0.0293 | -0.1479 | -0.0106 | -0.2337 | 0.7437 | -0.0557 | -0.7820 | -0.1651 | -0.0318 | -0.5370 | 0.3498 | 0.4605 | -1.2378 | 1.1830 | -0.5897 | -0.1993 | 0.1510 | 0.6353 | -0.5121 | 1.3419 | 0.6563 | -0.1162 | 2.2049 | -0.3205 | 1.7645 | -0.9496 | 0.4434 | 0.5125 | 1.0818 | 0.0758 | -0.1525 | 0.0552 | 0.4178 | 1.9271 | 1.0441 | 1.0022 | -1.3948 | -1.2619 | 1.0231 | -1.0048 | -0.6461 | 0.3777 | 0.4302 | 1.2050 | -0.5277 | 1.2302 | 1.1889 | -1.4308 | 0.4080 | -0.9681 | 0.0293 | -0.4883 | 0.2660 | 0.7256 | -0.4046 | 0.5338 | 0.3786 | 0.6595 | 0.2973 | -0.4386 | 1.0618 | 1.7699 | 0.1294 | -1.1245 | 1.5192 | 0.5019 | 0.5611 | 0.2286 | -1.8173 | 0.1310 | 1.4054 | -0.5157 | 0.8089 | 0.1357 | -0.3200 | -0.9055 | -0.8435 | 1.1093 | 0.5615 | 0.2829 | -0.8624 | -0.7488 | 0.0237 | -2.5290 | -0.3110 | 1.3735 | 0.5486 | -1.4420 | -0.6039 | -1.0043 | 0.1845 | -0.1870 | 0.1902 | -1.3882 | 1.6195 | -0.4739 | 2.7164 | -0.2435 | -0.6182 | 1.4098 | -0.1646 | 0.4143 | -0.1525 | -1.2921 | 1.0582 | 1.0185 | 0.8801 | -0.3254 | 0.6386 | -1.2001 | 1.4028 | -1.7908 | 1.4517 | -1.4486 | 0.2287 | 0.0492 | 1.0551 | 0.0395 | -0.7079 | 0.8290 | 0.3467 | 0.1434 | -2.0292 | 0.8438 | -0.5132 | 0.7495 | 1.3194 | 0.3150 | -2.3253 | 0.0004 | -1.0186 | -1.1318 | -0.8064 | 1.4279 | -0.7466 | 1.0764 | 0.5885 | 0.2769 | -0.2666 | 0.3703 | -0.5049 | -1.1197 | 0.1802 | -1.5771 | 0.0320 | 1.1333 | 0.3546 | -1.5341 | 1.7218 | -1.1934 | 1.0829 | 0.1652 | 0.3448 | 0.9443 | 0.6379 | 0.7491 | -0.3978 | 0.4149 | -0.4850 | 0.0128 | -1.3414 | 0.0162 | 1.3467 | -0.4934 | 0.2668 | 0.9882 | 0.5715 | 2.1297 | -1.7996 | 0.7498 | -0.5954 | 0.5809 | -0.5952 | -1.5518 | -2.7431 | -0.9293 | 0.0678 | 0.0759 | -1.7015 | 0.0254 | -0.4602 | 0.3386 | -0.2611 | 0.0785 | -1.2531 | 0.4822 | 0.7015 | 0.8044 | 0.7650 | -0.2613 | 0.6611 | -0.6939 | 1.2272 | -0.3491 | 1.6997 | 0.1258 | 0.5016 | 1.0422 | 0.8105 | 0.2557 | -0.5740 | 1.2447 | -0.2020 | -0.0489 | -0.2513 | 0.4326 | 0.8215 | 1.2504 | -0.0368 | 0.1168 | 0.0209 | 0.8986 | 1.1244 | -0.5039 | -0.2345 | 0.2155 | 0.4617 | -1.4956 | 0.5096 | 0.5695 | -1.8673 | 1.6967 | 0.2470 | 1.0525 | -2.3630 | -0.6127 | 1.0306 | 0.8520 | 0.0745 | -0.3683 | 0.1918 | 0.9496 | -0.1853 | 0.0501 | -2.1377 | 0.1235 | 0.1354 | -0.4871 | -1.1170 | -0.2914 | 0.7848 | -0.5887 | -1.4805 | 0.8214 | -1.1807 | 2.2113 | 0.2081 | -1.4716 | -0.5128 | -0.6513 | -0.4021 | 0.1781 | -0.4390 | -0.6096 | -1.3808 | -0.5042 | 0.9739 | -0.7406 | 1.4105 | -0.5607 | 0.1438 | -0.3839 | -0.5191 | 0.0905 | 0.8631 | 0.6719 | 0.4603 | 0.2375 | -0.1454 | -0.6642 | -0.1356 | 0.5412 | -0.1237 | 0.3680 | -0.1089 | 1.5889 | 1.1593 | -1.3299 | -0.0983 | -0.2961 | 1.7173 | 2.0342 | 0.7252 | 0.7024 | 1.7365 | 1.1975 | 1.2914 | 0.2874 | 0.9121 | -0.2706 | 0.0982 | 2.1653 | -1.7414 | 1.1734 | 0.7234 | 1.9353 | 0.5401 | 1.3976 | -0.1394 | 1.2102 | -1.5148 | 0.5829 | 1.5202 | -1.0922 | -0.3512 | 0.2026 | -1.3501 | 0.9590 | -2.1790 | -0.5570 | 0.0821 | 0.6755 | -0.7165 | -0.6387 | -2.1865 | -0.9191 | -0.1193 | 1.3476 | 1.0905 | -1.0986 | 0.3841 | 0.1726 | -0.6616 | 0.9131 | -0.0276 | -0.1446 | -0.6453 | -0.3665 | -0.5884 | -0.2979 | -1.0371 | -1.4567 | -0.4188 | 0.5750 | 0.9684 | -0.8036 | 1.8271 | -0.0616 | -0.9357 | 0.5896 | 1.2342 | -0.1222 | 1.8097 | -1.4282 | 0.0149 | 0.5313 | -0.6509 | -0.2031 | 0.4028 | 0.1894 | -1.9189 | 0.0291 | 0.6749 | 1.1830 | -0.8242 | 0.7753 | 2.1798 | 0.4918 | -0.7040 | -0.7070 | 0.8724 | -0.2679 | 0.0913 | -0.0119 | -0.0387 | -0.1665 | -0.8763 | -0.8763 | -1.0226 | -1.5725 | 0.3710 | -0.7665 | -0.7891 | 0.3093 | -1.3266 | -0.8978 | 0.2881 | 1.0643 | -0.2947 | -0.9622 | -1.0792 | 1.2056 | -0.2068 | -0.2833 | -0.7578 | -1.4381 | -0.1886 | -0.5362 | -1.2192 | 0.7314 | 0.3914 | 0.4907 | 0.9252 | -0.8872 | -1.9503 | -0.7400 | -0.3113 | -1.2979 | -0.2358 | 0.0300 | -2.7365 | -0.7074 | -0.6881 | 1.7073 | -0.8200 | 0.3392 | 0.9402 | 0.0900 | 1.2906 | 1.2648 | 0.2661 | -0.2819 | 2.6433 | -0.0987 | 1.1446 | 1.1446 | 0.8064 | -1.2413 | -0.4997 | 0.7406 | -1.6381 | -0.8639 | 0.1170 | 0.9954 | -1.0485 | 0.4904 | 0.6217 | 0.5080 | -0.5508 | -0.1578 | -1.0959 | -1.9429 | 0.0069 | 0.2627 | -0.7663 | 0.0311 | -0.3910 | 1.2389 | 0.3334 | 0.9733 | 1.8358 | -0.3288 | 0.1581 | 0.1713 | -1.7248 | -0.6854 | -0.5152 | -0.0499 | -0.0961 | 0.4809 | -1.2102 | -2.6897 | 1.4425 | 0.2791 | 0.5926 | 0.3428 | -0.3135 | -0.6527 | -0.0209 | -0.4174 | -0.0951 | -1.3568 | -0.1362 | -0.6775 | -2.9470 | -0.8790 | 1.6429 | -1.2947 | -0.2527 | 0.3965 | -0.2335 | -0.8573 | -0.3030 | 0.3960 | -1.7542 | -0.5759 | 0.5591 | -0.7223 | 0.4066 | -1.4497 | -0.6083 | 0.3640 | 0.5367 | 1.3387 | 0.7717 | -1.3835 | -0.0397 | -1.1174 | -0.2076 | 0.1202 | -0.6503 | -1.4045 | 0.7309 | -0.0828 | 0.6454 | 1.1768 | 1.2229 | -0.5735 | 0.8727 | -1.5100 | -0.4552 | 0.8402 | 0.8681 | -0.5343 | -0.0250 | 0.8548 | 1.5583 | 0.8746 | -1.2814 | -1.4448 | 0.0835 | -0.1598 | -0.5928 | -0.2669 | -0.1008 | -0.1282 | -0.0152 | 0.0156 | -0.6161 | 0.3229 | -1.9234 | -0.7156 | -1.0979 | -0.3880 | -0.4285 | 0.5936 | 0.6717 | 1.1042 | 0.7816 | 0.8270 | 0.8223 | 0.7280 | 0.9288 | 1.5475 | -1.2670 | -0.9985 | 0.0812 | -0.2865 | 0.3495 | -0.7468 | 0.3182 | -0.4362 | 0.2920 | -1.4423 | -0.8538 | -0.0234 | 0.5534 | -0.4654 | -0.6984 | -0.5471 | 1.0983 | -0.8304 | 0.5180 | -1.9137 | -0.3732 | 1.6141 | -0.5335 | 0.6781 | 2.1895 | -0.2697 | -0.5304 | -0.5641 | -0.5672 | 0.0986 | 0.9441 | -1.5790 | 2.2074 | -0.3702 | 0.4579 | -1.0955 | -2.3260 | 0.9186 | 1.3748 | 0.8324 | 0.9482 | -0.3811 | -0.5295 | -0.5004 | 0.4689 | -0.3653 | 2.2369 | 0.6108 | 1.0180 | -0.4864 | -1.1487 | 0.7840 | -1.4168 | -0.3203 | 0.8348 | -1.3033 | -0.5627 | 0.5326 | -0.9869 | 0.4463 | 0.7006 | -0.1704 | -1.7125 | 0.1014 | 0.3549 | 1.3066 | -0.8473 | -0.1514 | -0.3046 | 1.3036 | -0.4240 | -1.8886 | 0.0133 | 0.8375 | -1.0061 | 0.6436 | -2.0524 | -0.1298 | 0.4837 | -1.1799 | -0.8590 | -1.1207 | 0.9447 | -0.6062 | 0.9585 | -0.4365 |
Let’s look at the ‘scoredPlotly’ which visualizes the 2D Heatmap, hover on it will display the no. of observations and the tweets in a cell with its cell ID.
scoring$scoredPlotlyThis plot visualizes a 2D Heatmap using a Voronoi diagram where each region represents a cell and the color intensity indicates the number of tweets within that cell. The color scale on the right shows the range of observations, with darker colors representing fewer observations and lighter colors indicating higher observations.
Key observations:
Central Density: The central region exhibits a higher density of observations, marked by lighter colors, implying more tweets.
Peripheral Sparsity: The outer regions are predominantly darker, signifying fewer observations.
Cell Specifics: Hovering over a cell, as demonstrated, reveals detailed information such as Cell ID, number of observations, and tweets.
Hierarchical Clustering helps us understand the relationships between different concepts or themes in data by showing how they group together at various levels. It also helps in the validation of effectiveness of the Hierarchical Voronoi Tessellation (HVT) approach in preserving topology structures of the data.
Hierarchical clustering enables the exploration of various clusters (k) by slicing the dendrogram at different levels. It is performed in two different datasets in this section.
This approach of two different dataset allows for comparison between clustering results based on the reduced 2D representation and the high-dimensional data (1536D) which retains all the nuanced information from the original embeddings, along with 2D representation, helping to understand how much information is preserved or lost in the dimensionality reduction process.
Using both dataset helps in assessing the robustness of the clustering results. Comparison of clustering quality can be done by calculating the Average Silhouette Width (ASW). This assessment of performing two different datasets helps in finding whether the 2D projection is sufficient for forming meaningful clustering, or if the additional dimensionality provides significant improvements.
clustHVT and its parametersIn this section, we will explore the newly added
clustHVT function in the HVT package.
Let’s look at the function parameters.
clustHVT(data,
trainHVT_results,
scoreHVT_results,
indices,
clustering_method,
clusters_k)Each of the parameters of clustHVT function has been
explained below:
data - A data frame intended for
performing hierarchical clustering analysis.
trainHVT_results - A list object
which is obtained as a result of trainHVT
function.
scoreHVT_results - A list object
which is obtained as a result of scoreHVT
function.
clusters_k - A parameter that
specifies the number of clusters for the provided data. The options
include “champion,” “challenger,” or any integer between 1 and 20.
Selecting “champion” will use the highest number of clusters recommended
by the ‘NbClust’ function, while “challenger” will use the
second-highest recommendation. If a numerical value from 1 to 20 is
provided, that exact number will be used as the number of
clusters.
The Hyperparameters of NbClust& hclust
functions which are used in clustHVT function has been
explained below:
indices - The indices used for
determining the optimal number of clusters in NbClust
function. By default it uses 20 different indices (“kl”, “ch”,
“hartigan”, “cindex”, “db”, “silhouette”, “ratkowsky”,
“ball”,“hubert”,“dindex”,“ptbiserial”, “gap”, “frey”, “mcclain”,
“gamma”, “gplus”, “tau”, “dunn”, “sdindex”, “sdbw”) It is suggested to
tailor the indices based on the dataset provided.
clustering_method - The method used
for clustering in both NbClust and hclust
function. Defaults to ‘ward.D2’.
For more information, visit here.
Let’s look at the output list from clustHVT
function.
Optimal number of clusters summary: The output of the NbClust function comprises four plots, two corresponding to the D index and Hubert index, respectively. It also includes an interpretation of these indices, a summary table displaying the number of clusters recommended by all indices, and a conclusion table providing a comprehensive breakdown of the cluster suggestions across each index.
Dendogram plot: A dendrogram plot is a tree-like diagram that visually depicts the hierarchical relationships among clusters, with branch heights reflecting similarity or dissimilarity, and is used to determine the number of clusters through size-based visual comparison.
Cluster HVT plot: A 2D HVT Plotly visualization that colors cells according to clusters derived from AGNES clustering results. It is interactive, allowing users to view cell contents by hovering over them.
hclust on 2D dataIn this section, we are performing Hierarchical Clustering
(hclust) on 2D dataset.
In this section, we are using Sammon’s coordinates data which is 2 Dimensional (x and y coordinates) of the centroids of 110 cells is taken for the analysis.
centroid_data <- scoring$centroidData
hclust_data_1 <- centroid_data[,2:3]dim(hclust_data_1)## [1] 110 2
The data has 110 rows and 2 columns (x and y coordinates). Let’s have a look at the data.
Table(hclust_data_1, scroll = T)| x | y |
|---|---|
| -389.812790 | -218.352655 |
| -453.289180 | 43.168046 |
| -46.546923 | 465.285053 |
| -299.486842 | -333.396451 |
| -156.595479 | 405.258418 |
| -401.367822 | -102.360457 |
| -89.763441 | -392.607230 |
| -365.458774 | 127.269974 |
| -281.939643 | 272.918228 |
| -315.880001 | 193.500857 |
| -221.516395 | 105.581658 |
| -191.642099 | 146.512196 |
| -248.682283 | 74.284533 |
| -219.009373 | 223.394081 |
| -290.293822 | 123.710598 |
| -325.544177 | 27.421505 |
| -339.248306 | -63.187521 |
| -225.747110 | 174.521758 |
| -73.716292 | 205.890997 |
| -126.535195 | 215.648473 |
| -153.572853 | 271.267817 |
| 12.081591 | 345.353445 |
| -286.577845 | -65.078789 |
| -159.999235 | 64.830178 |
| -194.896993 | -55.205861 |
| -244.736837 | -89.143653 |
| -226.628099 | -167.756515 |
| -85.347754 | 262.317279 |
| -265.116568 | 24.343786 |
| -178.119716 | -224.207920 |
| -287.468561 | -165.077285 |
| -162.349321 | -288.757745 |
| -129.561588 | -165.723295 |
| -172.156192 | 220.292891 |
| -89.305996 | 317.497759 |
| -34.214773 | 323.836046 |
| -93.600523 | 20.994892 |
| -101.880957 | -98.803055 |
| -46.131707 | -25.560036 |
| -91.946484 | 80.758163 |
| -115.256729 | -31.680661 |
| -75.814945 | 137.179280 |
| -224.526477 | -15.111076 |
| 49.465295 | 274.677806 |
| -2.899881 | 271.819911 |
| -27.662968 | -274.300426 |
| -24.858865 | 33.403501 |
| -168.734467 | -120.474988 |
| -45.226323 | -90.363303 |
| -110.280365 | -266.674044 |
| -34.857784 | 90.220540 |
| 283.058864 | -164.768393 |
| -223.358508 | -239.811488 |
| -65.672853 | -178.138438 |
| 82.058939 | 335.082834 |
| 118.702428 | 278.006730 |
| 4.507175 | -329.280009 |
| 296.282383 | 92.724237 |
| 29.427283 | -177.105720 |
| 9.894617 | -95.509683 |
| 36.256066 | 192.901772 |
| 21.963997 | -38.966620 |
| -17.660197 | -174.056629 |
| 35.921472 | 60.858992 |
| 11.945486 | 149.448981 |
| 49.200531 | 7.814156 |
| -56.825777 | -292.569690 |
| 208.552447 | -118.947362 |
| 107.465664 | -343.637638 |
| 140.149286 | 310.507283 |
| 65.795253 | -211.218932 |
| 77.924693 | -140.327178 |
| 49.139287 | 106.535907 |
| 118.008706 | 87.362588 |
| 133.595832 | -130.776163 |
| 87.987886 | 168.543639 |
| 126.797150 | -8.885770 |
| 146.452771 | -66.290790 |
| 96.200583 | -56.619049 |
| 110.023275 | 36.292403 |
| 199.433621 | -232.689341 |
| 241.564002 | 72.334324 |
| 225.200321 | -54.453775 |
| 134.982167 | 203.528213 |
| 153.356240 | 139.102623 |
| 179.101328 | 17.646177 |
| 202.692183 | 126.480034 |
| 171.548913 | -297.620533 |
| 238.300121 | -207.770911 |
| 296.959491 | -113.069953 |
| 170.279910 | -214.352824 |
| 54.757720 | -300.461401 |
| 191.848166 | 233.380320 |
| 273.356219 | -30.460658 |
| 124.242322 | -257.740490 |
| 299.185287 | 7.528202 |
| 269.723629 | 165.864089 |
| 227.584369 | 196.626224 |
| 308.936520 | 50.817370 |
| 334.748724 | -68.290275 |
| 336.741946 | 122.988835 |
| 214.826975 | 287.438432 |
| 384.063272 | -21.067684 |
| 340.081022 | 189.076828 |
| 51.807694 | -440.468461 |
| 235.492474 | -365.332477 |
| 403.382416 | -161.563266 |
| 293.728335 | 315.756812 |
| 346.235950 | -264.118256 |
| -153.696207 | -447.614850 |
In this section, we will use clustHVT function to
conduct clustering analysis. Let’s look at the NbClust
function’s output for determining the number of optimal clusters for the
dataset.
clust.results <- clustHVT(data = hclust_data_1,
trainHVT_results = hvt.results,
scoreHVT_results = scoring,
clusters_k = 'champion')## *** : The Hubert index is a graphical method of determining the number of clusters.
## In the plot of Hubert index, we seek a significant knee that corresponds to a
## significant increase of the value of the measure i.e the significant peak in Hubert
## index second differences plot.
##
## *** : The D index is a graphical method of determining the number of clusters.
## In the plot of D index, we seek a significant knee (the significant peak in Dindex
## second differences plot) that corresponds to a significant increase of the value of
## the measure.
##
## ** Among all indices:
## ** * 1 proposed 1 as the best number of clusters
## ** * 3 proposed 2 as the best number of clusters
## ** * 6 proposed 3 as the best number of clusters
## ** * 1 proposed 4 as the best number of clusters
## ** * 2 proposed 12 as the best number of clusters
## ** * 5 proposed 15 as the best number of clusters
## *******************************************************************
## ***** Conclusion *****
## ** * According to the majority rule, the best number of clusters is 3
## *******************************************************************
## Index Number_clusters Value_Index
## -------------------------------------------------------------------
## kl 2.0000 6.8713
## ch 12.0000 78.3943
## hartigan 3.0000 32.0431
## cindex 12.0000 0.2501
## db 15.0000 0.8624
## silhouette 3.0000 0.3252
## ratkowsky 3.0000 0.4339
## ball 3.0000 1780468.0797
## hubert NA NA
## dindex NA NA
## ptbiserial 3.0000 0.5264
## gap 2.0000 -0.6991
## frey 1.0000 NA
## mcclain 2.0000 0.6399
## gamma 15.0000 0.9158
## gplus 15.0000 16.1623
## tau 3.0000 887.7868
## dunn 15.0000 0.1610
## sdindex 4.0000 0.0105
## sdbw 15.0000 0.0996
## *******************************************************************
From the above results, we can clearly see that highest recommendation is 3 as the optimal number of clusters. Let’s look at the dendogram plot for the same.
clust.results$dendogram()Though the highest recommendation is 3, the corresponding dendogram results in large clusters. However, for our specific use case, we prefer to have smaller clusters. So we will select the next highest recommendation from the NbClust summary. With 5 indices supporting this choice, we will proceed with ‘challenger’ to achieve a more granular clustering solution.
clust.results <- clustHVT(data = hclust_data_1,
trainHVT_results = hvt.results,
scoreHVT_results = scoring,
clusters_k = 'challenger')Let’s look at the dendogram for challenger number of clusters.
clust.results$dendogram()Let’s look at the Cluster HVT plot for the 15 clusters.
clust.results$clusterplotNow, we will pass all the data from each cluster to OpenAI’s gpt-3.5-turbo model to generate a keyword/domain name of that particular cluster.
Subsetting the data in each cluster by the below code and processing it without punctuation marks to be given as input to API call. Data from each cluster will be saved as a .txt file and the files will be read during the API call.
Let’s call the Function for writing clusters as .txt files which is explained in section 3.2 for this process.
create_and_write_clusters(cluster_numbers = 1:15, cluster_method = clust.results$cluster_data)The below chunk makes a call to OpenAI’s gpt-3.5-Turbo via chat completions API and print the responses for clusters below.
Let’s call the Function for making OpenAI-API Call to generate domain names which is explained in section 3.2. This function makes 10 API calls for each cluster and prints all 10 responses. The domain name that appears most frequently is selected as the domain name for that cluster.
result <- get_cluster_domains(15)
result$formatted_table| Domain_name_for_cluster_1 | Domain_name_for_cluster_2 | Domain_name_for_cluster_3 | Domain_name_for_cluster_4 | Domain_name_for_cluster_5 | Domain_name_for_cluster_6 | Domain_name_for_cluster_7 | Domain_name_for_cluster_8 | Domain_name_for_cluster_9 | Domain_name_for_cluster_10 | Domain_name_for_cluster_11 | Domain_name_for_cluster_12 | Domain_name_for_cluster_13 | Domain_name_for_cluster_14 | Domain_name_for_cluster_15 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Conservation | Socialmedia | Parenting | Entertainment | Spirituality | Inspiration | Lifestyle | Sports | Literature | Food | Travel | Celebrity | Empowerment | Music | Celebration |
| Conservation | Social media | Parenting | Entertainment | Spirituality | Inspiration | Fashion | Sports | Literature | Food | Travel | Celebrity | Empowerment | Music | Celebration |
| Conservation | Socialmedia | Parenting | Entertainment | Spirituality | Inspiration | Lifestyle | Sports | Literature | Food | Travel | Celebrity | Empowerment | Music | Celebration |
| Conservation | Social media | Parenting | Entertainment | Spirituality | Inspiration | Fashion | Sports | Literature | Food | Travel | Celebrity | Empowerment | Music | Celebration |
| Conservation | Socialmedia | Parenting | Entertainment | Spirituality | Inspiration | Lifestyle | Sports | Literature | Food | Travel | Celebrity | Empowerment | Music | Celebration |
| Conservation | Socialmedia | Parenting | Entertainment | Spirituality | Inspiration | Lifestyle | Sports | Literature | Culinary | Travel | Celebrity | Empowerment | Music | Celebration |
| Conservation | Social media | Parenting | Entertainment | Spirituality | Inspiration | Fashion | Sports | Literature | Food | Travel | Celebrity | Empowerment | Music | Celebration |
| Conservation | Social media | Parenting | Entertainment | Spirituality | Inspiration | Fashion | Sports | Literature | Food | Travel | Celebrity | Empowerment | Music | Celebration |
| Conservation | Social media | Parenting | Entertainment | Spirituality | Inspiration | Fashion | Sports | Literature | Culinary | Travel | Celebrity | Empowerment | Collectibles | Celebration |
| Conservation | Social media | Parenting | Entertainment | Spirituality | Inspiration | Fashion | Sports | Literature | Food | Travel | Celebrity | Empowerment | Collectibles | Celebration |
| Conservation | Social media | Parenting | Entertainment | Spirituality | Inspiration | Fashion | Sports | Literature | Food | Travel | Celebrity | Empowerment | Music | Celebration |
print(result$mode)## Domain_name_for_cluster_1 Domain_name_for_cluster_2
## "Conservation" "Social media"
## Domain_name_for_cluster_3 Domain_name_for_cluster_4
## "Parenting" "Entertainment"
## Domain_name_for_cluster_5 Domain_name_for_cluster_6
## "Spirituality" "Inspiration"
## Domain_name_for_cluster_7 Domain_name_for_cluster_8
## "Fashion" "Sports"
## Domain_name_for_cluster_9 Domain_name_for_cluster_10
## "Literature" "Food"
## Domain_name_for_cluster_11 Domain_name_for_cluster_12
## "Travel" "Celebrity"
## Domain_name_for_cluster_13 Domain_name_for_cluster_14
## "Empowerment" "Music"
## Domain_name_for_cluster_15
## "Celebration"
Let’s replace the cluster numbers to above generated
domain names in the dataset.
cluster_data <- clust.results$cluster_data
invisible(lapply(1:15, function(i) {
cluster_data$cluster_name[cluster_data$clusters == i] <<- result$mode[[i]]}))In this section, we will generate the Heatmaps of OpenAI and Manual Approach for the Sammon’s coordinates (2D - x and y coordinates) of the centroids of 110 cells.
OpenAI Approach
OpenAI Approach is a 2D Heatmap where colors
represent different domains assigned to the clusters. These domain names
are generated using OpenAI’s GPT-3.5-turbo via the chat
completions API. Tweets from each cluster are provided as
input, along with a system prompt requesting domain names that
accurately reflect the context of the data. To ensure consistent
results, this process is repeated 10 times for each cluster, and the
most frequently occurring name is selected as the domain name for that
cluster.centroid_cluster_data <- cluster_data %>% dplyr::select('Cell.ID', 'cluster_name','names.column')
hclust_plot_1 <- clusterPlot(dataset = centroid_cluster_data, hvt.results = hvt.results, domains.column = "cluster_name")Manual Approach
Manual Approach is a 2D Heatmap, features colors
representing domains assigned to clusters, but in this case, the domain
names are determined manually. This involves a detailed
examination of the tweets within each cluster, allowing for a more
nuanced assignment of domain names based on Human interpretation
and context.clust_1 <- subset(cluster_data$names.column, cluster_data$clusters == 1)cluster_names <- c("Activism *", "Engagement *", "Perspectives *",
"Upcoming Shows *", "Social Ideology *", "Heartwarming *",
"Excitement *", "Television Media *", "Governance *",
"Exhilaration *", "Media Posts *", "Gratitude *",
"Appreciation *", "Promotion *", "Wishes *")
cluster_data$cluster_name <- cluster_names[cluster_data$clusters]centroid_cluster_data <- cluster_data %>% dplyr::select('Cell.ID', 'cluster_name','names.column')
manual_plot_1 <-clusterPlot(dataset = centroid_cluster_data, hvt.results = hvt.results, domains.column = "cluster_name")In this section, we are visualizing the plots of both OpenAI where the domain names are generated by OpenAI via API call and the Manual where the domain names are manually read and assigned.
plotly::subplot(hclust_plot_1, manual_plot_1) %>%
plotly::layout(annotations = list(
list(x = 0.15, y = 1.05, text = "OpenAI Approach", showarrow = F, xref='paper',yref='paper', width = 150),
list(x = 0.9, y = 1.05, text = "Manual Approach", showarrow = F, xref='paper', yref='paper', width = 165))) (*) Manually assigned domain names (to differentiate the domain names from OpenAI generated)
Inference
A visual comparison between the plots of OpenAI Approach and the Manual Approach indicates that the domain names assigned to clusters exhibit complete uniqueness across both methods.
The labeling methodology utilized by OpenAI largely depends on the content of a restricted sample of tweets, generally one or two per cluster. For example, the ‘sports’ domain in the OpenAI plot is represented by only a single tweet pertaining to sports, whereas the majority of the remaining tweets discuss media shows. This distinction was more accurately captured by the Manual Approach, which categorized it as ‘Television Media’.
clusters <- clust.results$clusters
ward_sil <- silhouette(clusters, dist(hclust_data_1))
ward_asw <- round(mean(ward_sil[, "sil_width"]), digits = 2)
print(ward_asw)## [1] 0.27
For Sammon’s coordinates data (2D - x and y coordinates) of the centroids of 110 cells, the ASW for ward.D2 is 0.27 .
Refer this paper for more information on ASW calculation for evaluating Cluster Analysis.
hclust on 1538D dataIn this section, we are performing Hierarchical Clustering
(hclust) on 1538 dimensional dataset.
In this section, we are taking the Sammon’s coordinates data which is 2 Dimensional (x and y coordinates) with the centroid’s embedding data (1536D) of the 110 cells.
centroid_data_1 <- hvt.results[[3]]$centroid_data
centroid_data <- scoring$centroidData
centroid_data_2 <- centroid_data[,2:3]
hclust_data_2 <- cbind(centroid_data_1,centroid_data_2)dim(hclust_data_2)## [1] 110 1538
The dimension of the centroid data is 110 rows and 1538 columns (1536 columns + 2D coordinates)
Let’s have a look at the data. For the sake of brevity, we are displaying only the first 10 rows and all the 1538 columns.
Table(hclust_data_2[1:10,], scroll = T)| E1 | E2 | E3 | E4 | E5 | E6 | E7 | E8 | E9 | E10 | E11 | E12 | E13 | E14 | E15 | E16 | E17 | E18 | E19 | E20 | E21 | E22 | E23 | E24 | E25 | E26 | E27 | E28 | E29 | E30 | E31 | E32 | E33 | E34 | E35 | E36 | E37 | E38 | E39 | E40 | E41 | E42 | E43 | E44 | E45 | E46 | E47 | E48 | E49 | E50 | E51 | E52 | E53 | E54 | E55 | E56 | E57 | E58 | E59 | E60 | E61 | E62 | E63 | E64 | E65 | E66 | E67 | E68 | E69 | E70 | E71 | E72 | E73 | E74 | E75 | E76 | E77 | E78 | E79 | E80 | E81 | E82 | E83 | E84 | E85 | E86 | E87 | E88 | E89 | E90 | E91 | E92 | E93 | E94 | E95 | E96 | E97 | E98 | E99 | E100 | E101 | E102 | E103 | E104 | E105 | E106 | E107 | E108 | E109 | E110 | E111 | E112 | E113 | E114 | E115 | E116 | E117 | E118 | E119 | E120 | E121 | E122 | E123 | E124 | E125 | E126 | E127 | E128 | E129 | E130 | E131 | E132 | E133 | E134 | E135 | E136 | E137 | E138 | E139 | E140 | E141 | E142 | E143 | E144 | E145 | E146 | E147 | E148 | E149 | E150 | E151 | E152 | E153 | E154 | E155 | E156 | E157 | E158 | E159 | E160 | E161 | E162 | E163 | E164 | E165 | E166 | E167 | E168 | E169 | E170 | E171 | E172 | E173 | E174 | E175 | E176 | E177 | E178 | E179 | E180 | E181 | E182 | E183 | E184 | E185 | E186 | E187 | E188 | E189 | E190 | E191 | E192 | E193 | E194 | E195 | E196 | E197 | E198 | E199 | E200 | E201 | E202 | E203 | E204 | E205 | E206 | E207 | E208 | E209 | E210 | E211 | E212 | E213 | E214 | E215 | E216 | E217 | E218 | E219 | E220 | E221 | E222 | E223 | E224 | E225 | E226 | E227 | E228 | E229 | E230 | E231 | E232 | E233 | E234 | E235 | E236 | E237 | E238 | E239 | E240 | E241 | E242 | E243 | E244 | E245 | E246 | E247 | E248 | E249 | E250 | E251 | E252 | E253 | E254 | E255 | E256 | E257 | E258 | E259 | E260 | E261 | E262 | E263 | E264 | E265 | E266 | E267 | E268 | E269 | E270 | E271 | E272 | E273 | E274 | E275 | E276 | E277 | E278 | E279 | E280 | E281 | E282 | E283 | E284 | E285 | E286 | E287 | E288 | E289 | E290 | E291 | E292 | E293 | E294 | E295 | 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E1509 | E1510 | E1511 | E1512 | E1513 | E1514 | E1515 | E1516 | E1517 | E1518 | E1519 | E1520 | E1521 | E1522 | E1523 | E1524 | E1525 | E1526 | E1527 | E1528 | E1529 | E1530 | E1531 | E1532 | E1533 | E1534 | E1535 | E1536 | x | y |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0.4643162 | -2.8682924 | -0.7107268 | 1.4730710 | -0.0203017 | 0.0010427 | -0.0091294 | 0.2570697 | -0.0667262 | 2.1139454 | 0.8240914 | -0.3020283 | -1.1906755 | -0.6759303 | 0.0460771 | -2.0724747 | 0.2005574 | -0.3851298 | 0.1767805 | -0.2012449 | 0.3038434 | -0.6143198 | 0.3689808 | 0.2765907 | 1.0432617 | 0.0911709 | -0.3806482 | -0.1665116 | -0.3630454 | 0.6875251 | 0.4664115 | 0.6662506 | 0.8689635 | -1.5760116 | -0.5660574 | -1.2149256 | 0.6083944 | -0.2789902 | 0.7233975 | 1.3158422 | -0.5017949 | 2.1917380 | 0.9882678 | -0.6966032 | -0.0852927 | 1.6446660 | 0.0895585 | 1.7468988 | 0.9971973 | 1.2382413 | 0.2562394 | 0.2358766 | -0.8009589 | 1.3886010 | -0.4357893 | -1.8315858 | -1.4930556 | 1.2630200 | -0.7770033 | 0.2392792 | -0.2087963 | -1.8545468 | 0.0879431 | 0.3343763 | -1.3761962 | -0.0045463 | -1.0757779 | 1.0930066 | 0.3205542 | 0.0706260 | -0.5453888 | -0.1614093 | 0.7389120 | -0.4108811 | -0.0723384 | -0.3577654 | 0.3843846 | -0.4767233 | -0.4486799 | 0.2362981 | -0.3705008 | 0.2100290 | -0.3094136 | 0.3106778 | 0.0988866 | 1.7767544 | 0.3702276 | -1.0598625 | 0.3011377 | -0.0905063 | -0.0038073 | 0.4161032 | -0.5659950 | -0.3773600 | 0.1835490 | 0.8756732 | -0.4151889 | -0.6486289 | -1.0231492 | 0.8834957 | 0.5128740 | -0.8704742 | -1.2459647 | -1.0722020 | -0.9210025 | 0.0179796 | -1.1487700 | 1.6272530 | 1.0168298 | 0.3946816 | 1.6626720 | 0.5067547 | 1.4818038 | -0.2723820 | -0.3345134 | -0.4471492 | -1.2437475 | -0.1666484 | -0.1182503 | -0.6987429 | 0.2623370 | 1.0335071 | -0.4197397 | -0.7551174 | -0.4955925 | 1.5314827 | -1.1098927 | -1.5057847 | 0.2528294 | 0.6581076 | -0.7031364 | -0.0995310 | -0.0960015 | 1.0630094 | 0.6819585 | 0.8852709 | 0.0414812 | 0.0873474 | -0.8802085 | -0.7702892 | -0.1776582 | 0.1268838 | -0.8102844 | 1.1125591 | -0.4779313 | 0.6589330 | 0.4096558 | -0.2677888 | 0.5904070 | 0.9873281 | 0.8243925 | -0.0771229 | 0.5360395 | 0.1264988 | -0.0124796 | -1.3470694 | -1.0338494 | 0.8644415 | 0.4520743 | 0.3006283 | 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| -0.2204151 | 1.0150969 | -0.0549716 | 1.5074014 | 0.5148150 | 0.3419792 | -0.1000589 | 0.4358515 | -0.3136623 | 2.2404054 | -0.0839279 | 0.9429094 | 0.2892432 | 0.0281604 | 0.4858857 | 0.6281129 | 1.4789982 | -0.2697843 | 0.2633616 | -0.2046175 | 0.9761749 | 0.1847918 | 0.7872919 | 0.5353960 | -0.5265561 | -0.3995888 | 1.6700684 | 0.2183461 | 0.5428885 | -1.2223078 | -0.8370733 | 1.0691873 | 0.0715504 | -0.4227740 | 0.5257684 | -0.6085440 | -0.1438542 | -0.7123121 | 0.8172964 | 0.1640927 | 1.3961705 | 2.4897365 | -0.1803171 | -1.0043131 | 1.2566963 | 0.2129645 | 0.1785867 | -0.9295545 | 1.1818876 | -1.5602634 | -0.1842841 | 0.6822321 | 0.3254523 | 0.7356997 | 0.8827106 | 0.0047440 | 0.3657898 | -0.1895117 | -0.1850060 | 0.2307383 | -0.7656350 | 0.0331127 | 0.3646128 | -0.7004429 | -0.2944986 | 0.4705603 | -0.4340887 | -0.8581122 | 1.0211338 | 0.1983796 | 2.1534259 | -0.0207055 | 0.3649575 | -0.6446618 | -0.9006459 | 0.7543565 | -0.6964274 | 0.4875113 | -2.1926105 | -0.4082148 | -0.1448171 | 0.9248412 | 0.1937770 | -0.2221605 | -0.1385065 | -1.0526554 | 0.9304912 | -1.7435980 | 0.1133024 | 1.2396127 | 0.3316357 | -0.3248247 | 0.7987943 | -0.9793499 | 0.0272076 | -1.7970796 | -1.3542853 | -0.2696789 | 0.2831047 | -0.8108917 | 0.1969315 | -0.5643863 | -0.5540187 | -0.2887035 | 0.0121205 | 0.4500950 | -0.1063150 | 1.0619071 | 0.0704426 | 0.2424137 | -0.4058936 | 0.0579858 | -1.0919984 | 1.2177907 | -1.0125376 | -0.3555711 | 2.3135696 | -0.2256096 | -0.0970727 | -0.8045593 | 0.4092729 | -0.6076642 | -1.8396659 | 0.8298652 | -0.0891809 | 0.4579029 | 0.6894631 | -0.7863771 | -1.8716549 | -0.5649382 | 1.2597745 | 1.8173033 | -0.4987853 | -0.5960917 | 0.5358163 | 0.1064286 | 0.0116668 | 0.6321614 | 0.7863604 | 0.4506644 | 0.3983702 | 0.2030495 | -0.3552262 | -0.3018677 | -0.4061812 | -0.2392239 | -0.4403246 | 0.0476058 | -1.3876049 | 0.0251018 | -1.2830189 | 0.8884351 | 0.2236917 | -1.4296966 | 0.2273147 | 1.4688302 | 1.2623258 | 0.6096780 | 0.0158014 | -0.3539563 | 1.2526206 | 0.7058119 | 0.3561258 | 1.6025959 | -0.1891592 | 1.0849948 | 0.3081298 | 0.0968841 | 0.5326940 | -1.7984042 | -0.0630231 | -0.3770558 | 1.6596463 | 0.5752952 | -0.7370465 | 0.5409346 | 0.3543918 | -1.4148399 | 0.1718226 | 1.1777142 | 1.2465574 | -1.1926417 | 0.2991628 | 0.3986068 | -0.1222472 | -0.7258949 | -0.3435387 | -1.1085087 | 0.3286408 | 0.3803299 | 0.8668802 | -0.1573295 | 1.5655058 | 0.7802356 | 0.8096403 | 0.7957806 | 0.3575551 | 1.2563333 | 1.6057477 | -0.1617395 | -0.1140596 | 0.6003898 | -0.0034574 | -0.9086786 | 0.5208470 | 1.3132248 | -0.1293663 | 1.3679118 | 0.2575807 | 3.0738249 | 0.6988724 | -0.8774756 | 1.1894847 | -0.0816917 | -1.0925800 | -0.8241275 | 1.4219648 | 0.5401187 | -1.0079215 | -0.2696140 | -0.2602460 | -0.0092177 | -0.7760252 | 0.7349548 | -0.3973353 | 0.6617307 | -0.4256776 | 1.4323945 | -0.2661034 | -0.4412702 | -0.8863937 | 0.5499855 | 0.3457130 | 0.3548097 | -0.9935850 | -0.9476762 | 0.1890476 | 0.9777737 | -1.4506530 | -0.1038645 | 0.9014609 | 1.0033324 | 0.8357630 | -0.8979883 | -0.0171857 | 0.1120281 | 0.1655225 | -1.5943744 | 0.2082535 | 0.5244197 | -1.5465312 | 0.4336582 | -1.3067663 | -0.2893325 | 0.2002162 | -0.2585876 | -0.9553858 | 0.0359585 | 0.4476365 | 1.1191327 | 0.0048416 | 1.3096184 | -0.5694410 | -0.6101419 | 0.8712128 | -0.5784567 | 0.2260600 | 1.1839561 | -0.2988878 | 0.1947630 | 0.1971711 | -0.2559645 | -0.8882647 | 1.4101229 | 0.8815064 | -0.9309090 | -0.3945109 | -1.2398118 | -0.8295188 | -0.0817323 | -0.2714263 | -0.7199896 | 0.8420392 | 0.7796661 | -0.3974098 | 0.2114186 | 0.0273061 | -1.5817438 | 1.5942982 | 0.2475140 | -0.7965599 | -0.0507161 | 0.3320517 | 0.4880220 | 1.0330294 | 0.8456999 | -0.0686857 | 0.3357544 | 0.7929865 | -1.3284961 | -0.6496539 | -0.0071017 | 0.4001657 | -1.1778626 | 0.2030998 | -1.2369461 | 1.5226047 | -1.7651943 | -0.2157728 | -0.2191473 | -1.0948593 | -1.1807576 | 2.8021036 | -0.5322980 | -0.1398055 | -1.9034356 | -0.1823144 | 0.5746526 | -1.0532090 | 0.4017226 | -0.8627789 | 0.6012182 | 0.2813824 | -0.7243632 | -0.1046435 | 0.3310336 | -1.9066022 | -0.4361052 | -0.1438638 | -1.0873757 | -0.5930557 | 0.1685397 | -0.5829178 | -0.5405861 | -0.8087428 | 0.6710784 | 0.6293700 | 1.3026635 | -389.81279 | -218.35265 |
| 1.0069899 | 0.8223864 | -0.9228943 | -1.0877492 | 1.9416117 | 1.1705695 | 0.7412113 | -0.0036180 | 1.0122330 | -0.2232362 | 0.7911492 | -0.4281229 | -0.8327280 | 0.3764457 | 0.4465272 | -0.8380992 | 1.0308330 | 0.8820960 | -1.1198342 | -0.2907171 | -1.5011935 | 0.2202532 | -0.1141772 | 1.4675011 | -0.2577028 | -0.5955134 | -0.0131068 | -0.3889009 | -0.7038611 | -0.1628682 | -1.5565847 | -1.7874124 | -0.8344599 | -0.0719949 | -0.3395256 | -0.4220120 | -0.9396212 | -0.7998729 | -0.2779937 | -0.6790105 | 0.2967903 | -0.9160699 | 0.9125895 | 0.1066538 | 0.2750310 | -0.5180127 | 1.2539862 | -0.2463788 | -0.6447897 | -0.1036970 | 0.1828358 | -2.1368570 | 0.4657087 | -0.9269056 | -0.0355507 | 1.0928085 | 0.1187912 | -0.0258398 | 0.8644997 | -1.6456984 | -0.2346045 | -0.5718299 | -0.1914172 | 0.4053775 | -0.3218354 | -0.8786128 | -0.4941697 | 0.8538685 | 0.4842737 | -0.2861583 | 0.3231009 | 0.5616386 | 2.4225703 | 1.0481477 | 1.5467081 | -0.1061532 | 0.0869707 | 0.5650227 | -1.1894459 | 0.1000682 | -1.3817924 | 0.5661625 | 0.5863031 | -0.8906727 | 0.3663311 | -0.6487192 | 0.1230901 | 0.2993995 | 0.1017279 | 0.0809414 | -0.4234718 | 0.5543329 | 1.2117862 | 0.0436025 | 1.2083773 | -0.6662660 | 1.6198483 | -0.0445528 | 0.7006913 | -1.7215736 | -1.2429117 | -0.1263306 | -0.5585451 | 0.1256100 | -0.6300444 | 0.2238417 | -0.1521670 | 0.0486389 | 0.5470368 | -0.0861454 | -1.3580504 | 0.2760629 | -2.1039397 | 0.0095906 | 1.1316627 | 0.1997569 | -0.6804675 | 0.1868880 | -0.1206563 | 0.4982871 | 1.2302876 | -0.4840118 | 0.7028128 | 0.5358594 | 1.0242655 | -0.2933040 | 0.0404989 | 0.5366285 | 0.2998918 | -1.1558057 | -0.1926218 | -0.0622085 | 1.1039781 | -0.5204688 | 0.1575034 | 0.4724215 | -0.0418422 | 0.4115240 | 1.2398773 | 0.7443963 | -0.0560843 | -0.4289258 | -0.3322698 | 0.9927219 | 0.2569585 | -0.6504784 | 1.3561974 | 0.8206675 | 0.1647330 | 0.0512092 | 0.0747260 | 0.0503384 | -0.6867854 | -0.1046579 | -1.0333949 | 0.9216780 | -0.1148200 | -0.5228650 | 0.4731125 | -0.6486866 | 0.8118211 | 0.2422505 | 0.0683729 | 0.2616923 | 0.8590089 | -0.1020141 | -0.3754035 | 0.2638774 | -1.0018450 | 0.9893263 | 0.5512617 | 0.6499089 | 0.7271074 | -0.8320453 | -0.6414932 | -0.4368697 | -0.7316968 | 0.4762623 | 0.2844385 | 0.4083939 | 0.5118935 | 0.2974127 | 0.4619898 | 0.1741442 | -0.5680611 | 0.8810529 | 2.0983194 | 0.1082584 | -0.1749091 | -0.1172252 | 0.9516177 | 0.7317625 | -0.5239147 | -1.6620539 | 0.7617215 | -1.3763843 | 1.1301710 | 0.2322479 | -0.0594681 | -0.2090931 | -0.2397170 | -0.7962338 | -1.2030264 | -0.1034054 | 0.6944183 | 0.8876718 | 0.0562423 | 0.9534094 | 0.1969795 | 0.0705735 | 1.0695763 | -0.7784669 | -0.5796456 | -0.9511378 | 0.6343154 | 1.3095180 | -1.6200833 | -1.0078001 | -0.6415851 | 0.0622401 | 1.6038295 | -0.9669094 | -0.2842432 | 0.3954262 | -2.1075446 | -0.4850140 | -1.1346583 | -0.8398984 | -1.0196248 | 0.6140016 | -0.9019186 | -1.4201189 | -0.6051044 | -0.3637511 | -0.9337803 | 0.0272671 | -1.1679128 | -0.3718607 | -1.2054805 | -1.6180218 | -1.2382207 | -0.1835400 | 1.2480126 | 1.2342401 | -0.8616489 | 0.5320623 | 0.4773100 | -0.0663237 | 0.8249391 | 0.0115164 | 1.0380643 | -1.9979971 | 0.8706258 | -0.0550739 | 1.3539849 | 2.0937824 | 0.2894611 | -0.6015286 | 0.2740018 | -0.3174477 | 0.3549829 | 0.0085529 | 0.5809534 | 0.0483198 | 1.9651327 | -0.2735125 | 0.5117853 | -0.9490663 | -0.2865571 | 1.1325415 | -1.3965194 | -1.6893607 | 1.3011770 | 1.0017251 | 0.4885587 | -2.4254074 | 0.8533798 | 1.0487761 | 0.3612500 | 0.6490628 | 0.5923461 | -1.1748758 | -0.4230975 | -0.4383529 | 0.1851972 | 0.2639926 | 1.7504061 | -0.2501862 | 0.2144241 | 0.3303128 | 1.0411772 | 0.3964038 | 0.7565012 | -0.0851722 | -0.2483239 | 0.6023807 | 0.8231781 | 0.3405273 | -0.4934641 | -0.7253538 | 0.0468173 | 1.0507882 | -0.1275045 | 0.0926692 | 0.8316632 | -0.0808361 | 1.0288750 | -1.9925437 | 1.1281325 | 0.1905638 | -0.3446780 | 1.0632952 | -1.5827050 | 0.3300162 | -1.1883940 | 0.8744688 | -0.0668547 | 0.2080813 | -0.0057676 | -0.2989860 | 0.2522756 | -0.2728079 | 1.5457375 | 1.1961830 | -0.9197772 | -0.6225754 | -1.1954470 | 0.4161832 | 0.1257604 | 0.3846775 | 0.1023068 | -0.5992778 | -0.3135759 | 0.6099994 | 0.9227668 | -0.8131361 | 1.5662450 | 0.8812245 | -0.6243856 | 0.1311822 | 0.4086350 | -0.9935569 | 1.7291558 | 2.2994038 | 0.9177457 | -0.9878690 | 0.1145905 | 0.8505034 | 0.8950686 | -0.8531350 | -0.0357680 | 1.0074663 | 0.1676107 | 0.9241279 | 0.1214472 | -0.1026899 | 0.0406925 | 0.5394089 | -0.5227122 | -0.3598926 | 0.6306159 | 0.0651002 | -0.4171284 | 0.2807732 | 1.1872021 | -0.5669328 | 1.6760857 | 0.3465594 | 1.5932521 | -0.6785743 | 0.9857907 | 1.2918449 | 0.5362188 | -0.4946724 | -0.4662054 | -1.6097161 | 0.6960630 | 0.2254595 | -0.4456020 | 0.8887191 | 0.4899674 | 0.2398861 | 1.2629159 | -0.2160066 | -0.3407409 | -0.7271836 | -0.5239629 | 0.3782901 | 0.9145628 | 0.3725580 | -0.5579888 | 0.6703724 | -0.5323346 | -0.7662213 | 0.5368214 | 0.0732259 | 0.5189805 | 0.1697627 | 0.5185073 | 1.2537826 | 0.5880702 | -1.3361609 | 0.2442413 | 0.3926829 | -1.1223171 | 1.4144622 | 0.3389633 | 0.9462208 | -1.2505229 | -0.7394765 | 0.5176348 | -0.6297882 | -1.0746020 | 0.1840316 | -1.1011104 | -0.6226524 | 0.9702777 | -0.1700841 | -0.4048382 | 0.4520215 | 0.3702063 | -0.6236048 | -0.5501192 | 1.1940363 | -0.1260987 | 0.5450035 | -0.4468099 | 0.0622329 | -0.9242788 | 0.3680794 | 0.0676680 | -1.1199217 | 0.9326775 | -0.8761578 | -0.2732983 | -0.8849471 | -0.5597791 | -0.1545879 | 0.3698489 | 0.1996507 | 0.1826434 | -0.3061689 | 0.3135361 | -0.1083907 | 0.2233118 | -0.2957368 | 2.0819809 | -0.4842053 | 0.2911808 | 0.6033409 | 0.2263009 | 0.7699626 | 1.3953555 | -0.4702629 | 0.7599116 | 0.5677058 | 0.4067867 | -0.3338520 | -0.3713806 | 0.3171674 | -0.5308104 | -1.0377743 | 0.9347632 | 0.0363701 | -1.1867104 | -0.4482214 | 0.3177813 | 0.4426519 | 0.1337809 | -0.2060295 | -1.2337319 | 0.4856041 | -0.6801934 | 0.0470760 | 0.6418253 | -0.7288963 | -0.1671887 | -0.0244751 | 0.1382588 | 0.5648389 | -0.2794594 | -0.9995044 | -1.6184103 | -0.7186059 | -1.3597639 | -0.2209967 | -0.2346396 | 1.0322418 | 0.2593489 | 0.9671957 | 0.4781491 | -0.8306087 | -0.2674132 | -0.6310677 | -1.5242197 | 0.0482731 | 0.8751220 | -0.5818426 | -0.8399919 | -0.7009738 | -0.2601067 | -0.8547415 | -0.3809906 | -0.4081086 | 0.5716332 | -1.1048509 | -0.2357833 | -0.2561365 | 1.7858498 | -0.7789513 | -1.3586598 | 1.2997088 | 0.1255062 | 0.5769089 | -0.4165041 | -0.6431401 | 0.7691477 | 0.6057034 | 0.4623747 | 0.2748500 | 1.0376587 | -0.6702243 | -0.2209966 | 0.5451712 | 0.1671251 | 0.7149631 | -0.0031099 | -1.1343585 | 0.3744393 | 0.7257511 | -0.0184645 | -1.8673154 | -0.3550946 | 0.8357910 | 0.5585878 | 0.9129608 | 0.2199746 | -1.3023288 | 0.2408968 | 1.1339112 | 1.4078438 | -1.0325405 | -0.2351593 | 0.3117471 | 0.4625275 | -0.4587410 | 0.4411610 | 0.4024833 | 0.6190582 | 0.2900814 | -0.4392701 | -0.1486353 | -0.1012583 | 0.9330297 | -0.7078634 | -1.3778427 | -1.0355577 | 0.3158378 | -0.1614843 | 1.7600841 | 1.3729587 | -1.5782209 | -0.6383741 | -1.1706162 | -0.4210539 | 0.5638488 | -0.9762788 | -1.1051733 | -1.4634490 | 0.1343421 | -0.4534164 | -1.0555484 | 0.2403397 | -0.6127194 | 0.7213419 | 0.4928805 | -0.8768204 | 1.3770105 | 0.2822856 | -0.7926602 | -1.4792123 | -0.6436055 | -0.1229377 | 1.2625133 | 0.8889019 | 0.5131841 | 1.1382312 | 0.0848077 | -0.7281478 | -0.7900587 | -0.0252949 | -0.7587265 | 0.5657676 | -0.3023341 | 0.0586588 | -1.0068912 | 0.7292873 | -1.1115701 | -0.3061030 | -1.3556601 | 0.1394463 | 0.3484306 | -0.0788077 | 0.3067976 | -1.5723730 | -1.3280249 | -0.3855469 | 0.1192269 | -0.1637058 | -0.5574314 | -0.1099048 | 0.8209550 | 0.6132313 | 1.1252139 | 0.9958612 | 1.0670994 | 0.0109088 | -0.9054168 | -0.1336470 | -0.4317083 | 0.4434156 | -0.2237496 | 0.9290991 | 0.0450681 | -0.7360513 | 0.3646230 | 0.8024101 | -1.7211164 | 0.1908033 | 0.7074839 | -0.7324130 | -0.1265243 | 0.2397014 | 0.9149590 | 1.0489303 | 0.2388483 | 1.0681375 | 0.4532417 | -0.4935622 | 0.6313304 | 1.5230776 | -1.2310995 | -0.2043276 | -0.5137923 | -0.5720594 | 1.3379334 | 0.4987953 | -0.7101673 | -0.2039574 | 0.0926689 | -1.4419697 | 0.4340232 | 0.5051696 | -0.1668620 | -0.0448891 | -0.9432142 | -0.5789375 | 1.4626985 | -0.2993427 | 0.4417686 | -0.5558892 | 0.9918341 | 0.8210761 | -1.1372218 | 1.3041270 | 0.3044500 | -0.6045481 | 0.6506635 | 1.0116150 | 0.1593126 | -0.3664706 | 0.6130986 | -0.5076825 | 0.6163661 | -0.5146869 | 0.8521857 | 0.0108740 | -0.0990925 | -0.8550885 | 0.3718436 | 0.6944060 | 0.1626338 | 0.3476220 | -0.2597447 | 0.7925903 | -0.6515649 | 0.3436326 | 1.2564812 | -0.0696904 | 0.3007389 | -0.7630445 | -0.0599785 | 0.4408726 | -1.3347040 | 0.7560102 | -0.6031576 | 0.3836666 | -1.5319169 | -0.6641626 | -0.6379373 | 1.1287593 | 0.8015148 | 1.4925944 | 0.2354484 | 1.1867748 | -0.5410541 | 1.2387177 | 0.6427373 | 0.6359192 | 0.9337558 | 0.0719659 | 0.7629250 | -0.2880265 | -2.5989774 | -0.6909343 | 0.2246654 | 0.1268900 | 0.0901029 | 0.1828743 | 0.7287945 | 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| -1.4936059 | -0.4925953 | 0.1874727 | -0.0723405 | 0.0385237 | -1.4680947 | 1.8037936 | 0.2003191 | -1.4592676 | -0.1575444 | -0.3852835 | -0.4709605 | 0.0703299 | 1.9789147 | 0.4642902 | 0.4233714 | -0.2290244 | 0.6102942 | -0.5014638 | 0.6202500 | -0.4297435 | 0.2876416 | 0.4334020 | 1.7816841 | -0.4570938 | 0.2407299 | 0.0218668 | 1.0587869 | -0.0334581 | 1.0445449 | -0.4942275 | 0.8731413 | 0.4460901 | -0.5397822 | -0.0077449 | 1.3472194 | 0.4435745 | -0.2827878 | -0.8304468 | -0.7094421 | -0.3978457 | -0.4488764 | 0.1485802 | -1.8130632 | -0.0575911 | -0.5765192 | -0.3517301 | -0.6282945 | -0.4735719 | -1.7928000 | -1.6576967 | -0.8709008 | -0.2777988 | -1.5743355 | 0.3135810 | -0.7864802 | 0.4082662 | 0.4809607 | 0.4304604 | -0.8469883 | -0.1524659 | -0.6301057 | 0.4311189 | 0.2275351 | 0.2454305 | -0.7420419 | 0.2248100 | 0.1360465 | 0.3968741 | -0.3574270 | 0.5286007 | 0.1639911 | -0.1788469 | -0.9277799 | -1.3241254 | 0.5043034 | -1.0740606 | -0.5877443 | 0.8851448 | 0.3386266 | -0.4562657 | -0.4002866 | 0.9773769 | -0.4318511 | -0.5699134 | -0.5811088 | -0.3647614 | 0.6830092 | -0.7421432 | 0.2892076 | 0.2938901 | -1.0210249 | 0.6048662 | -0.7222125 | -0.0420658 | 0.0338171 | -0.0442022 | 1.8976967 | -0.4287789 | -0.8775196 | 0.2789937 | -0.8154621 | 0.6155654 | 0.3144740 | 0.3635489 | 1.0303605 | 0.6053491 | -1.0078499 | -0.6807938 | 0.1401659 | 0.8528966 | -0.6030752 | -0.7671202 | -0.0763605 | 0.8338566 | -0.0958659 | 0.0475754 | -0.3513971 | 0.3539503 | 0.7727712 | 0.5692911 | -0.5419045 | -0.1268576 | -0.2366439 | 0.8670335 | 0.4900261 | 0.2770223 | 0.3217262 | 0.3290626 | -0.2605084 | -0.4152017 | 1.6581828 | 0.1706461 | -0.4703660 | -0.1448767 | -0.2063496 | 0.5948969 | -0.4972460 | 0.0629350 | -1.5329836 | -0.2009005 | -0.5910079 | -0.7700258 | 0.7737338 | 0.3707557 | -0.2319997 | -0.0992775 | -0.6044117 | -0.9006772 | -0.5220459 | -0.9685277 | 1.0089704 | 0.2378667 | -0.6374015 | 0.6115424 | 1.5083085 | 0.4475597 | 0.0433424 | 0.4981922 | -0.2516561 | -0.7191602 | 0.4570401 | -0.4071672 | -0.1750912 | -0.3632300 | 0.1603885 | -0.1279977 | 0.4104996 | 0.9070549 | -0.5892941 | -0.7663510 | -0.1123418 | 0.7730195 | 1.0404210 | 0.1244570 | -0.7658130 | 0.1949061 | -1.9262496 | -0.5345707 | 0.8704844 | -0.4541684 | -0.3134895 | 0.7394090 | 0.0480906 | -0.1763417 | 0.2794064 | -0.3588718 | -0.6726881 | 0.1977796 | 0.1753674 | -0.0650018 | 0.5229867 | 0.5128714 | 0.5629253 | 1.2949596 | -0.3917778 | 0.0466479 | 0.4598958 | -1.1604536 | -0.3407541 | 0.3413045 | 0.1272208 | 0.5659910 | -0.9786895 | 0.8509474 | 0.3251030 | -0.7480206 | 0.9202905 | -0.2069979 | -0.6774220 | -0.6862952 | 0.6096743 | -0.6551001 | -0.6913514 | -0.6919375 | 0.5651735 | -0.5088349 | -0.0387330 | -0.2146992 | 0.7984058 | -0.1492575 | -1.7174409 | 1.5290166 | 0.1366839 | 0.2303321 | -0.8630085 | 0.4834223 | -0.1383409 | 0.6279543 | 0.2667688 | 0.3190268 | -1.0492025 | -0.2959141 | 0.0645776 | 0.0290388 | -0.8519685 | 0.0499890 | 0.6924691 | 0.3755925 | -1.2604905 | 0.5488672 | -0.3082866 | -0.7455167 | -0.5863223 | -0.6616303 | 0.6059124 | -0.0557237 | 1.2248534 | 0.4443024 | 0.9818574 | 0.5790311 | -0.1344469 | 0.6625954 | 0.7092229 | 2.1363686 | -0.3107970 | 0.6628061 | -0.5860724 | -0.1285533 | -0.5290891 | -0.2114805 | 0.1741720 | 0.9339112 | -0.5651469 | -0.1550687 | -0.7947393 | -0.4630087 | -0.2580802 | -0.5703414 | 0.4283735 | -0.3057129 | 0.5768963 | 0.0011303 | -0.7135299 | -0.1151920 | -0.2937092 | -0.5748254 | 0.5719289 | 0.7849400 | 0.5628322 | -0.4210566 | 0.3913634 | 0.7625205 | 0.2515696 | 1.3028607 | 0.0077006 | -0.8326637 | -0.4198527 | -0.1124445 | -0.1749350 | -1.3004410 | -0.8332889 | -0.1981171 | -0.8385670 | 1.1320438 | 0.2089731 | 0.3274748 | -0.6021471 | -0.8034912 | 0.1173676 | 0.1703454 | -2.3009920 | -0.4586681 | 0.2907583 | 0.4481229 | -0.0831366 | 0.2405503 | 0.4064374 | 0.1980268 | 0.2525178 | -1.4422011 | -0.0419316 | -0.3983234 | -0.8139615 | 0.3953753 | 0.2593558 | -0.0339431 | 0.4056360 | -0.2877967 | 0.6857716 | 0.0207344 | -0.1244092 | 0.6914389 | 0.1267560 | -0.0852449 | 0.7726288 | -0.8227743 | 0.7219485 | 0.5127674 | 0.0043999 | 0.1866765 | -0.7406348 | 0.2248781 | 0.5952586 | 0.7409591 | -0.1775987 | -0.0891943 | -0.1129382 | -1.1160443 | 0.3484331 | -0.0862579 | 0.6623175 | -0.5479431 | 0.3240256 | -0.8456248 | -0.3145879 | 1.1063751 | -1.4316749 | 0.2873589 | 1.6761489 | -0.3567682 | 0.1063125 | 0.1282631 | 0.3174432 | -1.5714897 | -0.1488445 | 0.3244252 | -0.3689970 | -0.3499768 | 0.8342704 | 1.2588106 | 0.6412695 | 1.1379557 | 0.8187016 | -1.2156285 | -0.3796840 | 0.5982526 | 0.5467728 | 0.1149572 | 0.2993928 | -0.1374879 | -0.0991458 | -0.1482665 | 0.6470907 | 0.4804640 | 0.5733417 | 0.7155843 | 0.5814844 | -1.0843083 | 0.7905108 | -0.7786347 | 1.4698013 | 1.2740643 | 0.6931026 | 0.0086406 | -0.2406597 | 1.3114984 | 0.7682170 | 0.7809684 | -0.0060582 | 0.8176905 | 0.2589523 | -0.3823663 | 0.7202152 | -1.3107617 | 0.0767408 | 0.6757616 | -0.1118272 | 0.7079778 | -1.1803861 | -0.3477859 | -0.2204368 | -0.5697772 | 0.6966908 | 0.3217059 | 0.5217915 | 1.2218558 | 0.1296279 | 1.1431942 | -1.1160550 | -0.4623613 | -0.4084584 | 0.2590745 | -1.0006596 | -0.6404337 | -0.7175133 | 0.8658660 | -0.6805198 | 0.7492282 | -1.0553634 | -0.4619365 | -1.4557304 | 0.1124288 | 0.7554385 | -0.9730585 | 0.0150116 | -0.1431716 | 0.5477797 | -0.2824128 | 0.8408770 | -0.0092244 | -1.2625508 | -0.1480360 | -0.0806911 | 0.3959091 | -0.3245725 | 0.5200717 | 0.2984647 | 0.7377988 | 0.1320556 | -0.6771676 | -0.2005770 | -1.1696120 | -0.2348476 | -0.6798712 | 0.4687192 | -0.5359701 | 0.6121500 | 0.6803435 | 0.1840598 | -0.1454368 | 0.1173634 | -0.4401137 | 0.1502532 | 0.0595688 | -0.4739255 | 1.5453617 | 0.4963792 | -0.4960094 | 0.3799279 | -0.5555092 | 1.1797589 | -0.1218597 | -0.2931884 | 0.2088329 | 1.3556452 | -0.3961107 | 0.0246456 | -0.0698674 | -0.9514129 | -0.3535127 | -0.4089897 | -0.5684417 | -0.1274101 | -1.8924450 | -0.8791587 | 0.1529113 | 0.2655896 | -0.0510865 | 0.4994716 | 0.1760075 | -0.3888220 | -0.9900019 | 0.1532326 | -0.9550563 | -0.4621160 | 0.3437918 | 1.3082700 | 0.3479842 | 0.2447553 | -1.5418471 | -0.6847892 | -1.2502242 | 0.0579841 | -0.3395819 | -0.2191695 | 1.2356010 | 0.7855058 | -0.8089256 | 0.3657889 | -0.5743305 | 0.3736531 | -0.4999074 | 0.3715155 | 0.2839089 | 0.5482664 | 0.2256830 | -0.7172291 | 0.6200686 | -0.6971856 | 0.3329643 | 0.5566847 | -0.7476569 | 0.9414604 | 0.4976228 | -0.4484930 | 0.4513238 | -0.6092358 | 0.2049217 | -0.4963989 | -0.4184323 | -1.3338101 | -1.0145100 | 0.4457933 | 0.4526547 | 0.1527147 | -0.7286201 | 0.3140419 | -1.3958404 | -0.7884614 | -0.3843648 | -0.4835888 | 0.1190213 | 0.4008630 | 0.6715220 | -0.4362854 | 0.4112069 | 0.4404907 | 0.0807517 | -0.6821580 | 0.4386019 | 1.7760321 | -0.5192086 | -0.1394063 | 0.4347186 | 1.1519114 | -0.5897975 | 1.6107044 | -0.0999063 | 0.2170850 | -1.0897917 | -0.4104738 | -0.1671636 | 0.1685467 | -0.0653238 | 0.1900399 | -0.3859609 | -1.0322737 | -0.9110302 | 0.0791990 | -0.2761247 | 0.1430405 | -1.4968084 | -0.3683940 | 0.1325688 | 0.9194765 | 0.3301981 | -0.3715079 | 0.9676224 | 0.0203891 | 0.0430016 | 0.1051637 | -0.6670346 | 0.7182504 | -0.6697009 | -0.7207868 | -0.9823647 | 0.1753924 | 0.6863024 | 0.9896635 | 0.5292551 | 0.3382850 | 0.9690078 | -0.0805358 | 0.1802295 | -0.4110960 | -0.4063450 | -0.9796584 | 1.0112969 | -0.1208124 | -1.7069329 | -0.5770723 | 0.7753196 | -0.0037321 | -0.6460865 | 0.3137230 | 0.9361042 | -0.6066269 | -0.0002026 | -0.7199932 | 0.7774217 | 0.2729305 | -0.9973498 | 0.4185095 | -0.2285019 | 0.1381702 | -0.1790004 | -0.9664166 | 0.7837682 | 0.2293820 | -0.8595050 | 0.3420401 | -0.8633432 | -1.0156633 | 0.6040133 | 1.7245426 | 0.3507748 | -1.2329757 | 0.9812637 | 0.0981988 | 1.1328663 | -0.5951195 | 0.7544332 | 0.0323612 | -0.4473377 | 0.2961003 | 0.5075392 | 0.7439948 | -0.7914241 | 0.3031542 | 0.5935263 | -0.6583796 | -0.6188283 | -0.8593767 | 0.4355718 | -0.1349351 | 0.2652508 | 0.1162131 | -0.0925840 | -0.0768054 | 0.6376670 | -0.2348478 | -0.3606314 | -0.5919298 | -0.0858704 | -0.4669210 | 0.7410717 | 1.1708777 | 1.5177346 | -0.9760254 | 0.6632760 | -0.3870074 | -0.7974250 | -0.4508081 | 0.2370063 | -1.0354221 | -0.2445277 | -0.5190810 | 0.1436457 | 0.3336491 | -0.8362442 | 1.0964289 | -1.4553586 | -0.9532049 | 1.4117104 | -0.3297032 | 0.5321197 | 0.3859759 | 0.7087019 | -1.4810214 | 0.0543613 | 0.3766409 | 0.4554678 | -0.3368794 | 0.3992699 | -0.2278475 | 0.1432410 | 0.0113444 | -0.3853202 | 0.9037022 | 0.1554828 | 0.4372628 | -0.1160934 | 1.4454107 | 0.0684469 | -0.5698601 | 0.1529451 | 0.5128726 | -0.0265870 | 0.7018166 | 0.2459755 | 0.0615040 | -0.5652952 | 0.7386302 | 1.4195589 | -0.9083604 | 0.1791334 | -0.3439307 | -0.2920312 | -0.3737497 | -0.0283860 | -0.5855141 | -0.2999391 | 1.5923915 | -2.2267863 | -0.2626270 | -0.3344217 | -0.4464918 | -0.2254196 | -0.7328717 | -0.7009083 | 0.6039349 | 0.0395280 | -0.0731984 | 0.1572080 | 0.6171196 | 0.7646112 | -0.3731688 | -1.3225821 | 0.4253070 | -0.3410731 | -0.6592479 | -0.6730008 | -0.0567637 | -0.1276510 | -0.4830483 | -1.2609678 | 0.7394955 | -0.4164391 | 0.3338103 | 0.6527778 | 0.4693084 | 0.2511057 | 0.7288685 | 0.5585450 | -0.8424204 | 0.1021787 | 1.0275796 | 0.7182079 | -299.48684 | -333.39645 |
| 1.9589500 | 0.0231201 | -1.1777361 | 0.2358205 | 0.5759842 | -0.9550904 | -0.7071770 | 0.3614285 | -0.7420423 | 0.1214581 | -0.7102457 | 0.4159079 | -0.0292324 | -0.2357073 | 0.1903163 | 0.3975325 | 0.1903204 | -0.2280976 | -0.1497187 | -0.1730401 | 0.5101621 | -0.1306935 | 0.4983928 | -0.6698087 | -0.2065138 | 1.1273155 | 0.2431091 | -0.6092790 | 0.0842636 | 0.1957951 | 0.3471360 | 0.1344743 | 0.4897576 | -0.2817267 | 0.9276753 | 0.5486668 | 1.1160530 | 1.2496685 | -0.6435266 | 0.4386414 | 0.6259973 | 0.7624316 | -0.4131575 | 0.2178240 | -0.0123242 | -0.1132420 | -0.2790379 | 1.2160175 | 0.6744955 | -1.4214035 | -0.1475929 | 1.4331594 | -0.0813515 | -0.0742885 | -1.4970199 | -1.2807139 | -0.5451539 | -0.7521044 | 0.3428883 | -0.0831612 | 1.0298892 | -0.3796583 | -0.7250169 | 0.8181251 | -1.4517777 | -0.1700533 | 0.0632369 | 1.2663086 | 0.4224043 | -0.7894534 | -0.1914919 | 0.3059354 | 0.5613639 | 0.0789393 | 1.2558337 | 0.5664314 | 0.7294164 | -0.9665941 | -0.1895234 | 0.6278733 | -1.2631497 | 0.3025104 | -0.1672378 | -0.4141447 | -1.0000246 | 0.2991037 | 1.0183676 | -0.8623877 | 0.9587463 | 0.6359552 | 0.1388015 | -0.3914615 | 0.9451378 | 1.2255986 | -0.4748508 | -0.0587562 | 0.9998300 | -1.3458275 | 0.0567855 | -1.2691574 | -0.3720998 | 0.6705193 | -0.6621830 | -0.4858936 | 1.3726499 | 0.6589912 | 1.0747748 | 0.7104353 | 0.6527616 | -0.6009298 | 0.7883735 | 0.2365548 | -1.4802214 | 0.4134482 | 0.7621180 | 0.1046587 | 1.2028242 | 0.7751178 | 0.2334609 | 1.6075175 | 1.5982516 | -0.4658552 | -0.6930905 | -0.1934720 | 0.7434383 | 0.4294645 | -0.6523364 | -0.2352955 | 0.2479873 | -2.1237021 | -0.2143539 | -0.7860344 | -0.2190563 | 0.2890305 | -0.3480100 | -0.3078607 | 0.9060219 | -0.5057301 | -0.7070157 | 0.6222575 | -0.1878456 | -1.6072657 | -0.1054740 | 0.5087100 | -0.4820196 | -0.2298423 | -0.5820141 | 0.4635470 | 0.3057606 | 0.2109538 | -0.1014746 | 1.0728753 | -0.1674684 | -0.0398655 | 0.4782774 | -1.2775325 | 0.2849147 | 0.7020028 | 0.6046406 | 0.1923663 | -0.6390131 | -0.1163266 | -0.5099988 | 0.2262312 | 1.3007051 | 0.5377266 | 0.6335770 | 0.0033170 | 0.0886178 | -0.3581662 | -1.9575680 | 0.2942351 | -0.3143066 | -0.3381498 | -1.4739957 | -0.3190011 | -1.0237824 | 0.4782522 | 0.2280494 | -0.3309640 | 1.0676492 | -0.7554817 | -0.0860867 | -0.7825424 | -0.5226045 | -0.1773101 | -0.0774232 | 0.2523631 | 0.9973844 | -0.8401951 | 0.8496638 | -1.4364463 | 0.4325943 | 0.4394852 | -0.3017331 | -0.0975044 | 0.6503671 | -0.5884820 | -1.4763025 | -1.4032573 | 1.2766540 | 0.2051733 | 0.9074102 | 0.1992395 | 0.2185261 | 0.0657096 | -0.4563873 | -0.7988551 | -0.3783242 | -0.3370488 | -0.2795618 | -0.6636064 | 0.1682079 | -0.2269139 | -0.7666940 | 1.2160020 | -1.0918616 | -0.5842693 | 0.3519426 | 0.8089855 | 0.3376363 | 0.0752591 | -0.1140695 | -1.4063760 | -0.0126258 | 0.2626381 | -0.7693354 | 0.1999018 | -0.8233115 | 0.2665171 | 0.0995270 | 0.2016661 | -1.1931103 | 0.2895087 | 0.2868384 | 0.7611844 | 0.4552323 | -0.0103859 | -0.2164640 | 0.0705409 | 1.8486855 | -0.9145320 | 0.8015488 | -0.3835792 | 0.0756291 | 0.1199825 | 0.4331983 | 1.0132330 | 0.9563999 | -0.3036369 | 0.3223667 | -0.0176824 | -0.1076218 | -0.4222149 | 0.4587105 | -0.1081341 | 0.0216029 | 0.0587194 | -0.8709807 | -0.0828159 | -1.0628798 | 0.1794867 | -1.7160787 | -1.0121918 | -0.2275066 | 0.5863423 | 0.5941531 | -0.6613604 | 0.4047733 | 0.3375024 | 0.3335212 | -0.6454604 | 0.3698307 | 0.3487912 | -0.0521804 | -0.3788544 | -0.3220058 | 0.0787339 | -0.5621764 | -0.3224803 | 0.1022377 | -1.0734735 | 1.2225321 | 0.9275028 | -0.6279280 | -0.8936666 | -1.7379269 | -0.5324782 | -0.5230192 | 0.0186646 | 0.5734474 | 0.5228453 | -0.3690468 | 0.5959666 | -0.7478005 | -1.7959911 | 0.9227720 | -0.3010494 | 1.1553722 | -0.5333373 | -0.3894324 | -0.8044557 | -0.0993521 | -1.1599638 | -0.4409959 | -0.0511669 | -1.0618911 | 0.2408525 | -0.3003938 | 0.0794142 | 0.4899835 | -0.9013851 | -0.1321457 | 0.0032750 | 0.5454331 | 0.6566096 | 0.0151014 | -0.0485938 | 0.1864489 | 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-0.1397215 | -0.8222395 | -0.9623419 | -0.1830642 | -1.3156948 | -0.8123636 | 0.0147928 | -0.0562454 | -0.8255806 | 0.0938386 | 1.0827177 | 0.0354072 | 0.3454466 | 0.1136627 | -0.1082044 | 0.2482208 | -1.5745913 | 0.2121497 | -0.0157303 | -0.4829543 | -0.1900358 | 0.3699143 | -0.3457573 | 0.0626802 | -0.2261112 | -0.2278142 | 0.2566390 | -0.0039187 | 0.9685844 | -0.6020685 | -1.2727151 | -0.6457052 | -0.1415864 | -0.2256597 | 0.2958014 | 0.1326092 | -0.3532594 | -0.4544865 | -0.4588659 | 0.8795644 | 0.2725171 | -1.1509307 | -0.0672985 | 0.1969093 | 0.3100650 | -0.2444567 | -0.3264910 | 0.2805562 | -0.0998024 | -0.2126073 | -0.6209332 | -0.0718332 | -0.1380500 | -0.1137218 | 0.3377142 | -0.5056925 | 0.2018899 | 0.6760630 | 0.1151387 | -0.9056126 | 0.2921115 | 0.6693301 | 0.6858640 | -0.8302199 | 0.0009005 | -0.5387428 | -0.8785504 | -0.1741339 | 0.1000755 | -1.6090386 | 0.2115965 | -0.3601493 | 0.2533349 | 0.8749310 | 0.9539430 | -0.1387763 | -0.4395506 | -0.3124992 | -0.4006347 | 0.7176342 | 0.5377948 | -0.1373455 | -1.7482185 | -0.3100546 | -0.0570244 | 0.2737437 | -0.4188835 | -0.0230594 | 0.1493526 | -0.1967223 | -0.0324245 | 0.4894093 | -0.0029690 | -1.0519943 | 0.1818807 | 0.6210404 | 0.0777999 | -0.8981112 | -0.4976298 | 0.5409589 | -0.2743067 | -0.4007060 | 1.3148851 | -0.8366944 | -0.2517795 | 0.3990807 | 0.4978768 | -0.0617581 | 0.2810982 | 0.0851119 | -0.0495910 | -0.2049200 | -0.0549366 | -0.0757353 | 0.5404735 | -0.6092008 | -0.2423524 | -0.7623082 | -0.4873042 | 0.2230761 | 0.1230825 | -0.9097548 | 0.3522642 | 0.2293617 | 0.1868206 | 0.0089418 | 0.2068269 | 0.6586092 | -0.9632136 | -0.3817986 | 0.3449032 | -0.3686604 | -0.2416059 | -0.1504592 | 0.3092935 | 0.3692584 | 0.7945981 | 1.1725199 | 0.0804463 | 1.2138797 | 0.3815367 | 0.2952074 | -0.1218168 | 0.0445284 | 0.8323679 | 0.1077145 | -0.6054308 | -0.6352053 | 0.2208495 | 0.3013913 | -0.1516933 | -0.7506961 | -0.5716777 | -0.0603256 | -0.1552997 | -0.4294152 | -0.4453237 | -0.0670886 | 0.4034589 | -0.1702898 | 0.7760995 | 0.6853560 | 0.1074972 | -0.8188107 | -0.7897656 | 0.0531060 | -0.8427659 | 0.0475060 | 0.0123524 | 0.8078344 | 0.0522742 | -0.4907430 | 0.2190750 | -0.7883203 | -0.0535635 | 0.0397201 | 0.8958679 | -0.3297725 | 0.3229692 | 0.3807363 | 0.2000125 | -0.4660924 | 0.3623191 | 0.1242936 | -0.3460669 | 0.5410369 | 0.4378050 | -0.0280400 | -0.2849039 | 0.6641363 | -0.3540155 | 1.1468341 | 0.3799240 | 0.0557364 | 0.5292183 | -0.4111506 | 0.5506872 | 0.0788205 | 0.2136282 | -0.7290858 | 0.3129245 | -0.0139958 | -0.2115371 | -0.2303887 | 0.6696202 | 0.8724722 | -0.8689803 | 0.8514829 | 0.4728396 | 0.2257111 | -0.5406187 | -0.4875016 | -0.9775779 | -0.1459402 | -0.6329993 | 0.0335608 | -0.5822725 | 0.1018172 | -0.4698826 | 0.7591570 | -0.5640910 | -0.1920172 | -0.2880206 | 0.2808007 | -0.6754917 | -0.3260359 | 0.6853268 | 0.2597680 | -0.9228592 | 0.5870157 | -0.5789457 | 0.0347562 | -0.1100029 | -1.0047860 | 0.3205510 | 0.3503591 | -0.6426559 | -0.8309527 | -0.3966286 | 0.7020591 | -0.7455300 | 0.4071177 | 0.4447751 | 0.0406280 | 0.2414322 | -0.8035740 | -0.7068907 | 0.3162019 | -0.3514749 | -0.0775289 | -0.1861779 | 0.0476179 | 0.0267433 | -0.5973351 | -0.5530708 | 1.2126838 | -0.1876815 | 0.0823811 | -0.2113017 | 0.1370968 | -0.9975335 | 1.4308747 | 0.3013652 | -0.7751678 | -0.0304600 | 0.1309443 | -0.7920719 | 1.2257845 | -0.3963650 | -0.1662929 | -0.6566958 | -0.4173354 | 0.2828657 | -0.1759267 | -0.7377755 | -0.8767194 | -1.5050534 | -1.1012722 | 0.3725974 | -0.0372446 | -0.1163877 | -0.4287334 | -0.1194979 | 0.6421905 | 0.3730748 | -0.1592744 | 0.6834840 | -0.1880450 | -0.6711006 | -0.6324887 | 1.2692629 | -0.9027428 | -0.3944928 | -0.5389460 | -0.7204411 | -0.9040041 | -0.4707891 | 1.6979360 | -0.6192212 | -0.3219893 | 0.3214623 | 0.4562062 | -0.3845401 | -1.1448394 | 0.9385643 | -0.0385949 | 0.5051862 | -0.3518205 | 0.7456837 | 0.2551036 | 0.8068342 | -0.1957179 | -0.2196444 | -0.6796849 | -0.1301407 | -0.7506373 | -0.1442168 | 0.8491443 | -0.0175683 | 0.1098886 | -0.1545808 | -0.6007660 | 0.2789703 | 0.1674899 | 0.1281265 | 0.2136675 | 1.0523033 | -0.2250654 | 0.0874723 | -0.1521786 | 0.6604247 | 1.2878391 | 0.4175788 | 1.0334219 | 0.2566256 | -0.3408682 | 0.6172610 | 0.6310567 | -0.4252166 | 0.8363730 | 0.7162785 | 0.5389925 | 0.4057476 | -0.0030097 | -0.1613342 | -0.1976972 | -0.1611206 | 0.7233110 | 0.4363065 | -0.1137833 | -0.5349521 | 0.7760614 | -0.3408956 | 1.2091485 | -0.4036249 | 0.3849893 | -0.5140604 | -0.0304597 | 0.2952224 | -0.2820051 | -0.6935209 | -0.4007863 | 0.2820708 | 0.9494617 | -0.5889902 | -0.0296216 | 1.1235701 | -1.3732946 | 0.0156665 | 0.5327159 | 0.9083913 | -0.3883387 | 0.1085056 | -0.4160079 | -0.2297290 | -0.7947460 | 0.2571158 | -0.4104175 | -0.0004688 | -0.2059763 | 0.3379397 | -0.4533133 | 0.3575106 | 0.3898002 | 0.5387784 | -0.4609078 | 0.0760212 | -0.4369979 | -0.9403488 | 0.0954546 | 0.9414500 | -0.0777137 | -0.3398514 | 0.9634066 | -0.0492206 | 0.2740825 | 0.1067070 | -0.0590583 | 0.5975897 | -1.1803560 | 0.6054107 | -0.5201764 | 0.7517883 | -0.1690435 | 0.0682592 | 0.2379324 | -0.6994999 | -1.0307145 | -0.7091897 | 0.0055535 | 0.8612728 | -0.1479303 | 0.6673783 | 0.3399241 | 0.4192782 | 0.0331840 | 0.1952652 | -0.6722131 | 0.1501974 | -0.0774208 | 1.1617863 | 0.3993100 | -0.8882380 | 0.1118973 | -1.2605295 | -0.2380152 | 0.8363536 | -0.4925279 | -0.8593274 | 0.3955657 | 0.6525443 | 1.2176740 | 0.7917301 | -0.1170358 | -0.6578142 | 1.3352032 | 0.4803763 | -0.1499741 | -0.0451065 | 0.3251127 | -0.2931269 | 0.9295663 | 0.4193016 | -0.0633147 | -0.1763924 | 0.0648194 | 0.5827190 | 0.6949456 | 0.2473589 | -0.3225426 | -0.2987965 | -0.0516536 | 0.2405534 | 0.0429163 | -0.2312160 | 0.0215005 | -0.9472779 | -0.0364261 | -0.6942152 | -0.1009834 | -1.8175395 | -0.1515473 | 0.0900830 | 0.0489481 | -0.1104816 | -0.2769381 | -0.4172455 | -0.1891378 | 0.2032302 | -0.1517725 | -0.7273878 | 0.1016253 | 0.7403304 | -0.5017741 | -1.3518215 | 0.5367373 | -0.4152136 | -0.0975082 | 0.2139321 | 0.6236009 | -0.5667659 | 1.0097537 | 0.0762872 | 0.5935420 | -0.1946070 | -0.6587710 | 0.7082776 | -1.1382234 | 0.0821507 | 0.7198327 | -1.1517328 | 0.2748630 | 0.0011772 | -0.3026211 | -0.9519208 | -0.1795807 | 0.2621118 | 0.5058093 | -0.5300744 | -0.0269559 | 0.6564478 | -0.4504372 | 0.0072054 | -0.2321237 | 0.4869504 | -1.0572917 | 0.2455828 | -0.3963392 | 0.3916812 | 0.0938337 | -0.7463224 | -0.6657831 | 0.3735533 | -0.0513583 | -0.7388691 | -0.1102714 | -0.7404117 | 1.0268940 | 0.5914950 | -0.0808092 | -1.0172503 | -0.3740540 | 0.1558164 | -0.2179416 | 0.7937679 | 0.9166334 | -0.6038042 | 0.2550530 | 0.3716967 | -0.5684738 | -0.0903249 | 0.6965986 | -1.1825540 | 0.0082861 | -0.7433929 | -0.7432670 | 0.3353445 | -0.3251748 | 0.1657843 | 0.5697204 | -0.5250192 | 0.2369107 | 0.7018252 | 0.5883624 | 0.0557734 | 0.5488171 | -0.2998577 | -0.3916446 | 1.5220569 | 0.1679638 | -0.0692791 | -0.3742124 | 0.4022469 | 0.5812576 | 0.2201162 | 0.4419786 | 0.6637318 | -0.6584260 | -0.1178252 | 0.0528077 | -0.1117933 | 0.1764480 | 0.5665768 | -0.4417292 | 0.5159318 | -0.7556291 | -0.7663938 | -0.4496640 | 0.0924559 | -0.3252986 | 0.1430570 | -0.2621189 | -0.2757274 | 0.7838624 | -1.0997509 | 0.0253062 | 1.1190078 | -0.4089504 | -0.6982493 | -315.88000 | 193.50086 |
In this section, we will use clustHVT function to
conduct clustering analysis. Let’s look at the NbClust
function’s output for determining the number of optimal clusters for the
dataset.
clust.results <- clustHVT(data = hclust_data_2,
trainHVT_results = hvt.results,
scoreHVT_results = scoring,
clusters_k = 'champion')## *** : The Hubert index is a graphical method of determining the number of clusters.
## In the plot of Hubert index, we seek a significant knee that corresponds to a
## significant increase of the value of the measure i.e the significant peak in Hubert
## index second differences plot.
##
## *** : The D index is a graphical method of determining the number of clusters.
## In the plot of D index, we seek a significant knee (the significant peak in Dindex
## second differences plot) that corresponds to a significant increase of the value of
## the measure.
##
## ** Among all indices:
## ** * 1 proposed 1 as the best number of clusters
## ** * 2 proposed 2 as the best number of clusters
## ** * 2 proposed 3 as the best number of clusters
## ** * 4 proposed 4 as the best number of clusters
## ** * 1 proposed 5 as the best number of clusters
## ** * 1 proposed 6 as the best number of clusters
## ** * 1 proposed 7 as the best number of clusters
## ** * 1 proposed 9 as the best number of clusters
## ** * 1 proposed 12 as the best number of clusters
## ** * 1 proposed 13 as the best number of clusters
## ** * 3 proposed 15 as the best number of clusters
## *******************************************************************
## ***** Conclusion *****
## ** * According to the majority rule, the best number of clusters is 4
## *******************************************************************
## Index Number_clusters Value_Index
## -------------------------------------------------------------------
## kl 4.0000 2.4230
## ch 7.0000 72.3145
## hartigan 4.0000 23.4170
## cindex 6.0000 0.2628
## db 9.0000 0.9109
## silhouette 4.0000 0.2924
## ratkowsky 12.0000 0.0934
## ball 3.0000 1665598.0961
## hubert NA NA
## dindex NA NA
## ptbiserial 4.0000 0.5193
## gap 2.0000 -0.6952
## frey 1.0000 NA
## mcclain 2.0000 0.6980
## gamma 15.0000 0.9173
## gplus 15.0000 15.9381
## tau 3.0000 823.6557
## dunn 13.0000 0.2003
## sdindex 5.0000 0.0100
## sdbw 15.0000 0.0800
## *******************************************************************
From the above results, we can clearly see that highest recommendation is 4 as the optimal number of clusters. Let’s look at the dendogram plot for the same.
clust.results$dendogram()Though the highest recommendation is 4, the corresponding dendogram results in large clusters. However, for our specific use case, we prefer to have smaller clusters. So we will select the next highest recommendation from the NbClust summary. With 3 indices supporting this choice, we will proceed with ‘challenger’ to achieve a more granular clustering solution.
clust.results <- clustHVT(data = hclust_data_2,
trainHVT_results = hvt.results,
scoreHVT_results = scoring,
clusters_k = 'challenger')Let’s look at the dendogram for challenger number of clusters.
clust.results$dendogram()Let’s look at the Cluster HVT plot for the 15 clusters.
clust.results$clusterplotNow, we will pass all the data from each cluster to OpenAI’s gpt-3.5-turbo model to generate a keyword/domain name of that particular cluster.
Subsetting the data in each cluster by the below code and processing it without punctuation marks to be given as input in API call. Data from each cluster will be saved as a .txt file and the files will be read during the API call.
Let’s call the Function for writing clusters as .txt files which is explained in section 3.2 for this process.
cluster_data <- clust.results$cluster_data
create_and_write_clusters(cluster_numbers = 1:15, cluster_method = cluster_data)The below chunk makes a call to OpenAI’s gpt-3.5-Turbo via chat completions API and print the responses for clusters below.
result <- get_cluster_domains(15)
result$formatted_table| Domain_name_for_cluster_1 | Domain_name_for_cluster_2 | Domain_name_for_cluster_3 | Domain_name_for_cluster_4 | Domain_name_for_cluster_5 | Domain_name_for_cluster_6 | Domain_name_for_cluster_7 | Domain_name_for_cluster_8 | Domain_name_for_cluster_9 | Domain_name_for_cluster_10 | Domain_name_for_cluster_11 | Domain_name_for_cluster_12 | Domain_name_for_cluster_13 | Domain_name_for_cluster_14 | Domain_name_for_cluster_15 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Activism | Influencer | Culinary | History | Spirituality | Parenting | Empathy | Entertainment | Literature | Cuisine | Travel | Fashion | Collectibles | Celebrity | Blessings |
| Activism | Influence | Culinary | Entertainment | Spirituality | Safety | Appreciation | Wellness | Memory | Celebration | Achievement | Gratitude | Collectibles | Connection | Blessings |
| Activism | Influencer | Culinary | History | Spirituality | Parenting | Empathy | Entertainment | Literature | Cuisine | Fashion | Celebrity | Collectibles | Travel | Celebration |
| Activism | Engagement | Culinary | Entertainment | Spirituality | Healthcare | Inspiration | Media | Literature | Cuisine | Sports | Fashion | Collectibles | Celebrity | Celebration |
| Activism | Influencer | Culinary | Entertainment | Spirituality | Parenting | Healthcare | Fashion | Literature | Gastronomy | Sports | Celebrity | Music | Celebrity | Celebration |
| Activism | Influencer | Culinary | Entertainment | Spirituality | Parenting | Appreciation | Lifestyle | Memory | Cuisine | Sports | Gratitude | Collectibles | Celebrity | Celebration |
| Activism | Influence | Culinary | Entertainment | Spirituality | Safety | Appreciation | Wellness | Memory | Cuisine | Achievement | Celebrity | Collectibles | Connection | Blessings |
| Activism | Engagement | Culinary | Entertainment | Spirituality | Childcare | Inspiration | Wellness | Memories | Cuisine | Achievement | Gratitude | Collectibles | Celebrity | Blessings |
| Activism | Influence | Culinary | Entertainment | Spirituality | Safety | Appreciation | Wellness | Memory | Cuisine | Achievement | Gratitude | Collectibles | Connection | Blessings |
| Activism | Engagement | Culinary | Entertainment | Spirituality | Childcare | Appreciation | Empowerment | Memory | Cuisine | Achievement | Gratitude | Collectibles | Celebration | Blessings |
| Activism | Influencer | Culinary | Entertainment | Spirituality | Parenting | Appreciation | Wellness | Memory | Cuisine | Achievement | Gratitude | Collectibles | Celebrity | Blessings |
print(result$mode)## Domain_name_for_cluster_1 Domain_name_for_cluster_2
## "Activism" "Influencer"
## Domain_name_for_cluster_3 Domain_name_for_cluster_4
## "Culinary" "Entertainment"
## Domain_name_for_cluster_5 Domain_name_for_cluster_6
## "Spirituality" "Parenting"
## Domain_name_for_cluster_7 Domain_name_for_cluster_8
## "Appreciation" "Wellness"
## Domain_name_for_cluster_9 Domain_name_for_cluster_10
## "Memory" "Cuisine"
## Domain_name_for_cluster_11 Domain_name_for_cluster_12
## "Achievement" "Gratitude"
## Domain_name_for_cluster_13 Domain_name_for_cluster_14
## "Collectibles" "Celebrity"
## Domain_name_for_cluster_15
## "Blessings"
Let’s replace the cluster numbers to above generated
domain names in the dataset.
invisible(lapply(1:15, function(i) {
cluster_data$cluster_name[cluster_data$clusters == i] <<- result$mode[[i]]}))In this section, we will generate the Heatmaps of OpenAI and Manual Approach for the Sammon’s coordinates (2D - x and y coordinates) with the embeddings (1536D) of the centroids of 110 cells.
OpenAI Approach
OpenAI Approach is a 2D Heatmap where colors
represent different domains assigned to the clusters. These domain names
are generated using OpenAI’s GPT-3.5-turbo via the chat
completions API. Tweets from each cluster are provided as
input, along with a system prompt requesting domain names that
accurately reflect the context of the data. To ensure consistent
results, this process is repeated 10 times for each cluster, and the
most frequently occurring name is selected.centroid_cluster_data <- cluster_data %>% dplyr::select('Cell.ID', 'cluster_name','names.column')
hclust_plot_2 <- clusterPlot(dataset = centroid_cluster_data, hvt.results = hvt.results, domains.column = "cluster_name")Manual Approach
Manual Approach is a 2D Heatmap, features colors
representing domains assigned to clusters, but in this case, the domain
names are determined manually. This involves a detailed
examination of the tweets within each cluster, allowing for a more
nuanced assignment of domain names based on Human interpretation
and context.clust_1 <- subset(cluster_data$names.column, cluster_data$clusters == 1)cluster_names <- c("Announcements *", "Engagement *", "Personal Freedom *",
"Upcoming Events *", "Social Ideology *", "Thoughts *",
"Heartwarming *", "Promotion *", "Governance *",
"Exhilaration *", "Media Posts *", "Gratitude *",
"Excitement *", "Appreciation *", "Wishes *")
cluster_data$cluster_name <- cluster_names[cluster_data$clusters]centroid_cluster_data <- cluster_data %>% dplyr::select('Cell.ID', 'cluster_name','names.column')
manual_plot_2 <- clusterPlot(dataset = centroid_cluster_data, hvt.results = hvt.results, domains.column = "cluster_name")In this section, we are visualizing the OpenAI plot where the domain names are generated by OpenAI via API call and the Manual plot where the domain names are manually read and assigned.
plotly::subplot(hclust_plot_2, manual_plot_2) %>%
plotly::layout(annotations = list(
list(x = 0.15, y = 1.05, text = "OpenAI Approach", showarrow = F, xref='paper',yref='paper', width = 150),
list(x = 0.9, y = 1.05, text = "Manual Approach", showarrow = F, xref='paper', yref='paper', width = 165))) (*) Manually assigned domain names (to differentiate the domain names from OpenAI generated)
Inference
A visual comparison between the plots of OpenAI Approach and the Manual Approach indicates that the labels assigned to clusters exhibit complete uniqueness across both methods.
The labeling methodology utilized by OpenAI largely depends on the content of a restricted sample of tweets, generally one or two per cluster. For example, the ‘safety’ domain in the OpenAI plot is represented by only a single tweet pertaining to be precautious, whereas the majority of the remaining tweets discuss personal opinions. This distinction was more accurately captured by the Manual Approach, which categorized it as ‘Thoughts’.
clusters <- clust.results$clusters
ward_sil_2 <- silhouette(clusters, dist(hclust_data_2))ward_asw_2 <- round(mean(ward_sil_2[, "sil_width"]), digits = 2)
print(ward_asw_2)## [1] 0.24
This section provides a side-by-side visual examination of the OpenAI plots and the manual plots for both datasets. We will compare and analyze the differences and similarities between these visual representations.
OpenAI ApproachHere we are comparing the plots of OpenAI approach where the domain names are generated by OpenAI via API call for both (2D and 1538D) datasets.
plotly::subplot(hclust_plot_1, hclust_plot_2) %>%
plotly::layout(annotations = list(
list(x = 0.15, y = 1.05, text = "OpenAI plot - 2D", showarrow = F, xref='paper',yref='paper', width = 150),
list(x = 0.9, y = 1.05, text = "OpenAI plot - 1538D", showarrow = F, xref='paper', yref='paper', width = 165)))Visual comparison of the plots reveals significant structural
changes of the clusters, even with consistent number of clusters
k = 15, due to variations in the dataset dimensions (2D
& 1538D).
From a visual inspection, only a few domain names are repeated, while the rest have changed. The keen observation suggests that OpenAI’s attempt to capture the full context was partially successful, as many domain names seem to reflect only one or two sentences or tweets from a cluster, rather than providing a domain name that comprehensively represents the entire context of the cluster.
Manual plotsHere we are comparing the plots of Manual approach where the domain names are generated by human interpretation (2D and 1538D) datasets.
plotly::subplot(manual_plot_1, manual_plot_2) %>%
plotly::layout(annotations = list(
list(x = 0.15, y = 1.05, text = "Manual plot - 2D", showarrow = F, xref='paper',yref='paper', width = 150),
list(x = 0.9, y = 1.05, text = "Manual plot - 1538D", showarrow = F, xref='paper', yref='paper', width = 165)))Visual comparison of the plots reveals significant structural
changes of the clusters, even with consistent number of clusters
k = 15, due to variations in the dataset dimensions (2D
& 1538D).
From visual inspection, the majority of domain names are repeated, with only a few changing. This observation indicates that the manual approach was largely effective in capturing the full context, as many domain names appear to reflect the overall idea of the content.
A tanglegram is a visual comparison of two hierarchical structures or dendograms side by side, with lines connecting matching elements to highlight differences and similarities. This is useful for comparing different clustering results.
Let’s look at the tanglegram of
dend1 <- as.dendrogram(hc_1)
dend2 <- as.dendrogram(hc_2)
labels(dend1) <- as.character(labels(dend1))
labels(dend2) <- as.character(labels(dend2))
tanglegram(dend1, dend2, main_left = "Sammon's coordinates(2D)", main_right = "Sammon's coordinates with embeddings(1536D + 2D)", cex_main_left = 1.5, cex_main_right = 1.5)Insights
The colored lines connecting the two dendograms indicate relationship between clusters on both sides. Lines of the same color tend to stay together, indicating that clusters are largely preserved between the two dendograms.
Points connected by shorter lines are more stable in their representation across both datasets, implying that their characteristics are consistently captured in both cases. The data points represented by shorter lines have undergone less dramatic shifts in their relative positions.
The crossing patterns of these lines suggest that while overall cluster structure is preserved, there have been some reorganizations within and between clusters.
1) Hierarchical Voronoi Tessellation
The evaluation of the HVT package for compressing and visualizing high-dimensional LLM token embeddings has yielded significant insights and promising results.
The findings strongly support the Alternative Hypothesis (H1) mentioned in section 2, demonstrating the HVT package’s efficacy in compressing high-dimensional LLM embedding data while preserving and meaningfully representing contextual contents.
Compression Ratio: The HVT package achieved a compression ratio of 85% referred in summary table of section 5, surpassing our target threshold of 80%. This indicates the HVT’s efficiency in reducing data dimensionality while retaining essential information, which is crucial for handling high-dimensional token embeddings dataset.
Visual Similarity Evaluation: The generated Heatmap visualization referred in section 7.2 effectively captured and displayed contextual similarities and differences between tweets. The coherent grouping of semantically related tweets and the logical proximity of related cell clusters validate the HVT’s ability to maintain the structure of token embeddings post-compression.
2) Hierarchical Clustering
In our comparative analysis of hierarchical clustering, we evaluated the performance of the Ward.D2 method using two distinct datasets:
The Average Silhouette Width (ASW), a metric that quantifies clustering quality on a scale from -1 to 1, was employed to assess the clustering efficacy. Higher ASW values close to 1 indicate more distinct and well-separated clusters, while those values close to -1 indicate poor clusters.
For the 2D Sammon’s coordinates, the ASW for Ward.D2 was 0.27, whereas for the 1536D embeddings, the ASW was 0.24.
Notably, the difference in ASW between the two datasets was approximately 0.03, a margin that is statistically minimal. This result suggests that despite the higher dimensionality of the dataset(1538D), the clustering quality did not significantly improve and, in fact, the lower-dimensional (2D) data provided slightly better results.
Given the marginal difference in ASW and the increased complexity associated with higher-dimensional data, we conclude that the low dimensional (2D) data is not only more computationally efficient but also more effective for this clustering task.
3) Insights on OpenAI and Manual Approaches in generating domain names for clusters
By evaluating the domain names produced by OpenAI’s gpt-3.5-turbo against those assigned manually, the following conclusions can be drawn:
Reasoning:
The manual approach takes into account the entire content within each cluster, leading to domain names that reflect the broader thematic and contextual information.
In contrast, the domain names generated by OpenAI’s gpt-3.5-turbo are based on a limited sample of one or two tweets per cluster. This narrow focus often fails to capture the full content and thematic richness of the clusters, leading to less representative domain names.